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58125326472 = 233212713746399
BaseRepresentation
bin110110001000100010…
…100001100010001000
312120000212001112010100
4312020202201202020
51423020040421342
642411415245400
74125254060133
oct661042414210
9176025045110
1058125326472
11227182600a4
12b322079860
135634253305
142b558dd21a
1517a2d98e4c
hexd888a1888

58125326472 has 96 divisors (see below), whose sum is σ = 159823872000. Its totient is φ = 19081827072.

The previous prime is 58125326417. The next prime is 58125326473. The reversal of 58125326472 is 27462352185.

58125326472 is a `hidden beast` number, since 58 + 1 + 2 + 532 + 64 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (58125326473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1229529 + ... + 1275927.

It is an arithmetic number, because the mean of its divisors is an integer number (1664832000).

Almost surely, 258125326472 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 58125326472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79911936000).

58125326472 is an abundant number, since it is smaller than the sum of its proper divisors (101698545528).

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

58125326472 is a wasteful number, since it uses less digits than its factorization.

58125326472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46675 (or 46668 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 58125326472 in words is "fifty-eight billion, one hundred twenty-five million, three hundred twenty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 137 254 274 381 411 508 548 762 822 1016 1096 1143 1233 1524 1644 2286 2466 3048 3288 4572 4932 9144 9864 17399 34798 46399 52197 69596 92798 104394 139192 139197 156591 185596 208788 278394 313182 371192 417576 417591 556788 626364 835182 1113576 1252728 1670364 3340728 5892673 6356663 11785346 12713326 17678019 19069989 23570692 25426652 35356038 38139978 47141384 50853304 53034057 57209967 70712076 76279956 106068114 114419934 141424152 152559912 212136228 228839868 424272456 457679736 807296201 1614592402 2421888603 3229184804 4843777206 6458369608 7265665809 9687554412 14531331618 19375108824 29062663236 58125326472