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56270197152 = 2534131669937
BaseRepresentation
bin110100011001111101…
…110001000110100000
312101020120022012010000
4310121331301012200
51410220132302102
641503345340000
74031266532631
oct643175610640
9171216265100
1056270197152
1121956071a74
12aaa4937600
1353c9b00260
142a1b395888
1516e50a101c
hexd19f711a0

56270197152 has 120 divisors (see below), whose sum is σ = 178219123236. Its totient is φ = 17313896448.

The previous prime is 56270197129. The next prime is 56270197201. The reversal of 56270197152 is 25179107265.

56270197152 is a `hidden beast` number, since 5 + 627 + 0 + 1 + 9 + 7 + 15 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51781733136 + 4488464016 = 227556^2 + 66996^2 .

It is a super-2 number, since 2×562701971522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56270197098 and 56270197107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 801273 + ... + 868664.

Almost surely, 256270197152 is an apocalyptic number.

56270197152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

56270197152 is an abundant number, since it is smaller than the sum of its proper divisors (121948926084).

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

56270197152 is a wasteful number, since it uses less digits than its factorization.

56270197152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669972 (or 1669955 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 56270197152 in words is "fifty-six billion, two hundred seventy million, one hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 1669937 3339874 5009811 6679748 10019622 13359496 15029433 20039244 21709181 26718992 30058866 40078488 43418362 45088299 53437984 60117732 65127543 80156976 86836724 90176598 120235464 130255086 135264897 160313952 173673448 180353196 195382629 240470928 260510172 270529794 347346896 360706392 390765258 480941856 521020344 541059588 586147887 694693792 721412784 781530516 1042040688 1082119176 1172295774 1442825568 1563061032 1758443661 2084081376 2164238352 2344591548 3126122064 3516887322 4328476704 4689183096 6252244128 7033774644 9378366192 14067549288 18756732384 28135098576 56270197152