Search a number
-
+
56142925088112 = 243517383468513
BaseRepresentation
bin11001100001111110010110…
…00110110100010101110000
321100210012200222110120100000
430300333023012310111300
524324321202310304422
6315223412001030000
714553123010222302
oct1460771306642560
9240705628416300
1056142925088112
1116986098629675
126368a60025300
13254334165ab15
14dc14912cb972
15675616511cac
hex330fcb1b4570

56142925088112 has 120 divisors (see below), whose sum is σ = 163883415883824. Its totient is φ = 18606132946944.

The previous prime is 56142925088069. The next prime is 56142925088119. The reversal of 56142925088112 is 21188052924165.

It is a happy number.

56142925088112 is a `hidden beast` number, since 5 + 6 + 1 + 42 + 9 + 2 + 508 + 81 + 12 = 666.

56142925088112 is digitally balanced in base 2, 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 (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56142925088119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41061633 + ... + 42406880.

Almost surely, 256142925088112 is an apocalyptic number.

It is an amenable number.

56142925088112 is an abundant number, since it is smaller than the sum of its proper divisors (107740490795712).

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

56142925088112 is a wasteful number, since it uses less digits than its factorization.

56142925088112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83468709 (or 83468691 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 56142925088112 in words is "fifty-six trillion, one hundred forty-two billion, nine hundred twenty-five million, eighty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 216 243 324 346 432 486 519 648 692 972 1038 1296 1384 1557 1944 2076 2768 3114 3888 4152 4671 6228 8304 9342 12456 14013 18684 24912 28026 37368 42039 56052 74736 84078 112104 168156 224208 336312 672624 83468513 166937026 250405539 333874052 500811078 667748104 751216617 1001622156 1335496208 1502433234 2003244312 2253649851 3004866468 4006488624 4507299702 6009732936 6760949553 9014599404 12019465872 13521899106 14440052749 18029198808 20282848659 27043798212 28880105498 36058397616 40565697318 43320158247 54087596424 57760210996 81131394636 86640316494 108175192848 115520421992 129960474741 162262789272 173280632988 231040843984 259920949482 324525578544 346561265976 389881424223 519841898964 693122531952 779762848446 1039683797928 1169644272669 1559525696892 2079367595856 2339288545338 3119051393784 3508932818007 4678577090676 6238102787568 7017865636014 9357154181352 14035731272028 18714308362704 28071462544056 56142925088112