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133311881248 = 25713193237203
BaseRepresentation
bin111110000101000000…
…0011110000000100000
3110202002201211020121021
41330022000132000200
54141010320144443
6141124224135224
712426410202550
oct1741200360040
9422081736537
10133311881248
11515a0099577
1221a05a67514
13c757086a90
146649299160
1537039b19ed
hex1f0a01e020

133311881248 has 96 divisors (see below), whose sum is σ = 324700016256. Its totient is φ = 52465287168.

The previous prime is 133311881221. The next prime is 133311881309. The reversal of 133311881248 is 842188113331.

133311881248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443415 + ... + 680617.

It is an arithmetic number, because the mean of its divisors is an integer number (3382291836).

Almost surely, 2133311881248 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 133311881248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162350008128).

133311881248 is an abundant number, since it is smaller than the sum of its proper divisors (191388135008).

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

133311881248 is a wasteful number, since it uses less digits than its factorization.

133311881248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237426 (or 237418 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

Adding to 133311881248 its reverse (842188113331), we get a palindrome (975499994579).

The spelling of 133311881248 in words is "one hundred thirty-three billion, three hundred eleven million, eight hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 193 208 224 364 386 416 728 772 1351 1456 1544 2509 2702 2912 3088 5018 5404 6176 10036 10808 17563 20072 21616 35126 40144 43232 70252 80288 140504 237203 281008 474406 562016 948812 1660421 1897624 3083639 3320842 3795248 6167278 6641684 7590496 12334556 13283368 21585473 24669112 26566736 43170946 45780179 49338224 53133472 86341892 91560358 98676448 172683784 183120716 320461253 345367568 366241432 595142327 640922506 690735136 732482864 1190284654 1281845012 1464965728 2380569308 2563690024 4165996289 4761138616 5127380048 8331992578 9522277232 10254760096 16663985156 19044554464 33327970312 66655940624 133311881248