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64252000056 = 23315786319759
BaseRepresentation
bin111011110101101101…
…111011011100111000
320010211211110210021210
4323311231323130320
52023042003000211
645303355203120
74433136663216
oct736555733470
9203754423253
1064252000056
11252816406a2
1210551a464a0
13609c64175a
143177483cb6
151a10ba49a6
hexef5b7b738

64252000056 has 64 divisors (see below), whose sum is σ = 161848627200. Its totient is φ = 21255182208.

The previous prime is 64252000049. The next prime is 64252000067. The reversal of 64252000056 is 65000025246.

It is a super-2 number, since 2×642520000562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64251999987 and 64252000032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3241905 + ... + 3261663.

It is an arithmetic number, because the mean of its divisors is an integer number (2528884800).

Almost surely, 264252000056 is an apocalyptic number.

64252000056 is the 135491-st nonagonal number.

It is an amenable number.

64252000056 is an abundant number, since it is smaller than the sum of its proper divisors (97596627144).

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

64252000056 is a wasteful number, since it uses less digits than its factorization.

64252000056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20788 (or 20784 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 64252000056 in words is "sixty-four billion, two hundred fifty-two million, fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 157 314 471 628 863 942 1256 1726 1884 2589 3452 3768 5178 6904 10356 19759 20712 39518 59277 79036 118554 135491 158072 237108 270982 406473 474216 541964 812946 1083928 1625892 3102163 3251784 6204326 9306489 12408652 17052017 18612978 24817304 34104034 37225956 51156051 68208068 74451912 102312102 136416136 204624204 409248408 2677166669 5354333338 8031500007 10708666676 16063000014 21417333352 32126000028 64252000056