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58862972064 = 25313163289361
BaseRepresentation
bin110110110100100000…
…011010110010100000
312121221021001210122110
4312310200122302200
51431022410101224
643012525435320
74152452002311
oct666440326240
9177837053573
1058862972064
1122a66682156
12b4a910bb40
1357210136b0
142bc5876608
1517e7a05929
hexdb481aca0

58862972064 has 96 divisors (see below), whose sum is σ = 167422538304. Its totient is φ = 18000506880.

The previous prime is 58862972033. The next prime is 58862972099. The reversal of 58862972064 is 46027926885.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 58862971995 and 58862972013.

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, 58744 + ... + 348104.

It is an arithmetic number, because the mean of its divisors is an integer number (1743984774).

Almost surely, 258862972064 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 58862972064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83711269152).

58862972064 is an abundant number, since it is smaller than the sum of its proper divisors (108559566240).

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

58862972064 is a wasteful number, since it uses less digits than its factorization.

58862972064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289550 (or 289542 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 58862972064 in words is "fifty-eight billion, eight hundred sixty-two million, nine hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 163 208 312 326 416 489 624 652 978 1248 1304 1956 2119 2608 3912 4238 5216 6357 7824 8476 12714 15648 16952 25428 33904 50856 67808 101712 203424 289361 578722 868083 1157444 1736166 2314888 3472332 3761693 4629776 6944664 7523386 9259552 11285079 13889328 15046772 22570158 27778656 30093544 45140316 47165843 60187088 90280632 94331686 120374176 141497529 180561264 188663372 282995058 361122528 377326744 565990116 613155959 754653488 1131980232 1226311918 1509306976 1839467877 2263960464 2452623836 3678935754 4527920928 4905247672 7357871508 9810495344 14715743016 19620990688 29431486032 58862972064