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56451913532928 = 293229422443079
BaseRepresentation
bin11001101010111101111000…
…10000001100011000000000
321101212202020220201220100200
430311132330100030120000
524344402004331023203
6320021352343445200
714614342020531264
oct1465367420143000
9241782226656320
1056451913532928
1116a95138544561
1263b8913756800
132566514722314
14dd24040b80a4
1567d69cd689a3
hex3357bc40c600

56451913532928 has 120 divisors (see below), whose sum is σ = 168542115627600. Its totient is φ = 18168431898624.

The previous prime is 56451913532923. The next prime is 56451913532929. The reversal of 56451913532928 is 82923531915465.

56451913532928 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 1 + 9 + 1 + 3 + 532 + 92 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56451913532923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211087908 + ... + 211355171.

It is an arithmetic number, because the mean of its divisors is an integer number (1404517630230).

Almost surely, 256451913532928 is an apocalyptic number.

56451913532928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

56451913532928 is an abundant number, since it is smaller than the sum of its proper divisors (112090202094672).

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

56451913532928 is a wasteful number, since it uses less digits than its factorization.

56451913532928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422443132 (or 422443113 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 56451913532928 in words is "fifty-six trillion, four hundred fifty-one billion, nine hundred thirteen million, five hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1044 1152 1392 1536 1856 2088 2304 2784 3712 4176 4608 5568 7424 8352 11136 14848 16704 22272 33408 44544 66816 133632 422443079 844886158 1267329237 1689772316 2534658474 3379544632 3801987711 5069316948 6759089264 7603975422 10138633896 12250849291 13518178528 15207950844 20277267792 24501698582 27036357056 30415901688 36752547873 40554535584 49003397164 54072714112 60831803376 73505095746 81109071168 98006794328 108145428224 110257643619 121663606752 147010191492 162218142336 196013588656 216290856448 220515287238 243327213504 294020382984 324436284672 392027177312 441030574476 486654427008 588040765968 648872569344 784054354624 882061148952 973308854016 1176081531936 1568108709248 1764122297904 1946617708032 2352163063872 3136217418496 3528244595808 4704326127744 6272434836992 7056489191616 9408652255488 14112978383232 18817304510976 28225956766464 56451913532928