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133403405352 = 23375383180511
BaseRepresentation
bin111110000111101110…
…1100110110000101000
3110202100010001011001220
41330033131212300220
54141202232432402
6141141253542040
712431601143640
oct1741735466050
9422303034056
10133403405352
1151637820a28
1221a30644920
13c770020659
1466574c1520
15370ba3edbc
hex1f0f766c28

133403405352 has 128 divisors (see below), whose sum is σ = 393025167360. Its totient is φ = 36945342720.

The previous prime is 133403405323. The next prime is 133403405381. The reversal of 133403405352 is 253504304331.

It is an interprime number because it is at equal distance from previous prime (133403405323) and next prime (133403405381).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648777 + ... + 829287.

It is an arithmetic number, because the mean of its divisors is an integer number (3070509120).

Almost surely, 2133403405352 is an apocalyptic number.

133403405352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133403405352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196512583680).

133403405352 is an abundant number, since it is smaller than the sum of its proper divisors (259621762008).

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

133403405352 is a wasteful number, since it uses less digits than its factorization.

133403405352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180663 (or 180659 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 133403405352 its reverse (253504304331), we get a palindrome (386907709683).

The spelling of 133403405352 in words is "one hundred thirty-three billion, four hundred three million, four hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 83 84 106 159 166 168 212 249 318 332 371 424 498 581 636 664 742 996 1113 1162 1272 1484 1743 1992 2226 2324 2968 3486 4399 4452 4648 6972 8798 8904 13197 13944 17596 26394 30793 35192 52788 61586 92379 105576 123172 180511 184758 246344 361022 369516 541533 722044 739032 1083066 1263577 1444088 2166132 2527154 3790731 4332264 5054308 7581462 9567083 10108616 14982413 15162924 19134166 28701249 29964826 30325848 38268332 44947239 57402498 59929652 66969581 76536664 89894478 104876891 114804996 119859304 133939162 179788956 200908743 209753782 229609992 267878324 314630673 359577912 401817486 419507564 535756648 629261346 794067889 803634972 839015128 1258522692 1588135778 1607269944 2382203667 2517045384 3176271556 4764407334 5558475223 6352543112 9528814668 11116950446 16675425669 19057629336 22233900892 33350851338 44467801784 66701702676 133403405352