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58268579152 = 24713722716729
BaseRepresentation
bin110110010001000100…
…111111010101010000
312120101211121111212011
4312101010333111100
51423313224013102
642433533512304
74131643515340
oct662104772520
9176354544764
1058268579152
1122791103a43
12b362042694
135657b2c004
142b6a94cd20
1517b07442d7
hexd9113f550

58268579152 has 80 divisors (see below), whose sum is σ = 130545394560. Its totient is φ = 24679286784.

The previous prime is 58268579147. The next prime is 58268579153. The reversal of 58268579152 is 25197586285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58268579153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3474724 + ... + 3491452.

It is an arithmetic number, because the mean of its divisors is an integer number (1631817432).

Almost surely, 258268579152 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 58268579152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65272697280).

58268579152 is an abundant number, since it is smaller than the sum of its proper divisors (72276815408).

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

58268579152 is a wasteful number, since it uses less digits than its factorization.

58268579152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17108 (or 17102 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 58.

The spelling of 58268579152 in words is "fifty-eight billion, two hundred sixty-eight million, five hundred seventy-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 227 274 454 548 908 959 1096 1589 1816 1918 2192 3178 3632 3836 6356 7672 12712 15344 16729 25424 31099 33458 62198 66916 117103 124396 133832 217693 234206 248792 267664 435386 468412 497584 870772 936824 1741544 1873648 2291873 3483088 3797483 4583746 7594966 9167492 15189932 16043111 18334984 26582381 30379864 32086222 36669968 53164762 60759728 64172444 106329524 128344888 212659048 256689776 425318096 520255171 1040510342 2081020684 3641786197 4162041368 7283572394 8324082736 14567144788 29134289576 58268579152