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133523221552464 = 243411273891373341
BaseRepresentation
bin11110010111000001001100…
…001100001001110101010000
3122111202200202212221100220010
4132113001030030021311100
5120000121024204134324
61151551415435114520
740060506621605322
oct3627011414116520
9574680685840803
10133523221552464
11395a9975694477
1212b858408a2a40
135967255184233
1424d87b6399612
1510683a33e5829
hex79704c309d50

133523221552464 has 160 divisors (see below), whose sum is σ = 357046067589120. Its totient is φ = 42969501388800.

The previous prime is 133523221552463. The next prime is 133523221552489. The reversal of 133523221552464 is 464255122325331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133523221552463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96538434 + ... + 97911774.

It is an arithmetic number, because the mean of its divisors is an integer number (2231537922432).

Almost surely, 2133523221552464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133523221552464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178523033794560).

133523221552464 is an abundant number, since it is smaller than the sum of its proper divisors (223522846036656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133523221552464 is a wasteful number, since it uses less digits than its factorization.

133523221552464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373909 (or 1373903 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 48.

Adding to 133523221552464 its reverse (464255122325331), we get a palindrome (597778343877795).

The spelling of 133523221552464 in words is "one hundred thirty-three trillion, five hundred twenty-three billion, two hundred twenty-one million, five hundred fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 127 164 246 254 328 381 389 492 508 656 762 778 984 1016 1167 1524 1556 1968 2032 2334 3048 3112 4668 5207 6096 6224 9336 10414 15621 15949 18672 20828 31242 31898 41656 47847 49403 62484 63796 83312 95694 98806 124968 127592 148209 191388 197612 249936 255184 296418 382776 395224 592836 765552 790448 1185672 1373341 2025523 2371344 2746682 4051046 4120023 5493364 6076569 8102092 8240046 10986728 12153138 16204184 16480092 21973456 24306276 32408368 32960184 48612552 56306981 65920368 97225104 112613962 168920943 174414307 225227924 337841886 348828614 450455848 523242921 534229649 675683772 697657228 900911696 1046485842 1068459298 1351367544 1395314456 1602688947 2092971684 2136918596 2702735088 2790628912 3205377894 4185943368 4273837192 6410755788 7150986587 8371886736 8547674384 12821511576 14301973174 21452959761 21903415609 25643023152 28603946348 42905919522 43806831218 57207892696 65710246827 67847165423 85811839044 87613662436 114415785392 131420493654 135694330846 171623678088 175227324872 203541496269 262840987308 271388661692 343247356176 350454649744 407082992538 525681974616 542777323384 814165985076 1051363949232 1085554646768 1628331970152 2781733782343 3256663940304 5563467564686 8345201347029 11126935129372 16690402694058 22253870258744 33380805388116 44507740517488 66761610776232 133523221552464