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56555152425664 = 2697127701102329
BaseRepresentation
bin11001101101111110001011…
…10001010100001011000000
321102020121201210221001011121
430312333011301110023000
524403044423010110124
6320141024531322024
714624655253613614
oct1466770561241300
9242217653831147
1056555152425664
11170249a6177712
126414926150314
13257318826a129
14dd73d9369344
156811e15d52e4
hex336fc5c542c0

56555152425664 has 112 divisors (see below), whose sum is σ = 114440527918080. Its totient is φ = 27725812531200.

The previous prime is 56555152425557. The next prime is 56555152425697. The reversal of 56555152425664 is 46652425155565.

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, 552628452 + ... + 552730780.

It is an arithmetic number, because the mean of its divisors is an integer number (1021790427840).

Almost surely, 256555152425664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56555152425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57220263959040).

56555152425664 is an abundant number, since it is smaller than the sum of its proper divisors (57885375492416).

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

56555152425664 is a wasteful number, since it uses less digits than its factorization.

56555152425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103266 (or 103256 counting only the distinct ones).

The product of its digits is 216000000, while the sum is 61.

The spelling of 56555152425664 in words is "fifty-six trillion, five hundred fifty-five billion, one hundred fifty-two million, four hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 97 127 194 254 388 508 701 776 1016 1402 1552 2032 2804 3104 4064 5608 6208 8128 11216 12319 22432 24638 44864 49276 67997 89027 98552 102329 135994 178054 197104 204658 271988 356108 394208 409316 543976 712216 788416 818632 1087952 1424432 1637264 2175904 2848864 3274528 4351808 5697728 6549056 8635619 9925913 12995783 17271238 19851826 25991566 34542476 39703652 51983132 69084952 71732629 79407304 103966264 138169904 143465258 158814608 207932528 276339808 286930516 317629216 415865056 552679616 573861032 635258432 831730112 1147722064 1260590951 2295444128 2521181902 4590888256 5042363804 6958065013 9110043883 10084727608 13916130026 18220087766 20169455216 27832260052 36440175532 40338910432 55664520104 72880351064 80677820864 111329040208 145760702128 222658080416 291521404256 445316160832 583042808512 883674256651 1767348513302 3534697026604 7069394053208 14138788106416 28277576212832 56555152425664