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56445951855852 = 223313118393395867
BaseRepresentation
bin11001101010110010110001…
…11010001100110011101100
321101212011212102210022212000
430311121120322030303230
524344302302133341402
6320014525020212300
714614041210234456
oct1465313072146354
9241764772708760
1056445951855852
1116a92659309309
1263b772b09a090
132565aa4583950
14dd1dda4032d6
1567d44e7a0c1c
hex335658e8ccec

56445951855852 has 96 divisors (see below), whose sum is σ = 157611742310400. Its totient is φ = 17366513057856.

The previous prime is 56445951855817. The next prime is 56445951855919. The reversal of 56445951855852 is 25855815954465.

56445951855852 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 5 + 9 + 5 + 18 + 558 + 52 = 666.

It is a super-2 number, since 2×564459518558522 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) 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 31 ways as a sum of consecutive naturals, for example, 14924023 + ... + 18319889.

It is an arithmetic number, because the mean of its divisors is an integer number (1641788982400).

Almost surely, 256445951855852 is an apocalyptic number.

56445951855852 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

56445951855852 is an abundant number, since it is smaller than the sum of its proper divisors (101165790454548).

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

56445951855852 is a wasteful number, since it uses less digits than its factorization.

56445951855852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407732 (or 3407724 counting only the distinct ones).

The product of its digits is 1728000000, while the sum is 72.

The spelling of 56445951855852 in words is "fifty-six trillion, four hundred forty-five billion, nine hundred fifty-one million, eight hundred fifty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 11839 23678 35517 47356 71034 106551 142068 153907 213102 307814 319653 426204 461721 615628 639306 923442 1278612 1385163 1846884 2770326 3395867 4155489 5540652 6791734 8310978 10187601 13583468 16621956 20375202 30562803 40750404 44146271 61125606 88292542 91688409 122251212 132438813 176585084 183376818 264877626 366753636 397316439 529755252 794632878 1191949317 1589265756 2383898634 4767797268 40203669413 80407338826 120611008239 160814677652 241222016478 361833024717 482444032956 522647702369 723666049434 1045295404738 1085499074151 1447332098868 1567943107107 2090590809476 2170998148302 3135886214214 4341996296604 4703829321321 6271772428428 9407658642642 14111487963963 18815317285284 28222975927926 56445951855852