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58704930504 = 233211307241441
BaseRepresentation
bin110110101011000101…
…100010011011001000
312121112020200110101100
4312223011202123020
51430211430234004
642545122221400
74145522450613
oct665305423310
9177466613340
1058704930504
11229954481a0
12b4641b4860
1356c735a48c
142bac89717a
1517d8bd8739
hexdab1626c8

58704930504 has 96 divisors (see below), whose sum is σ = 174012078240. Its totient is φ = 17731353600.

The previous prime is 58704930499. The next prime is 58704930517. The reversal of 58704930504 is 40503940785.

58704930504 is a `hidden beast` number, since 5 + 8 + 70 + 49 + 30 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 58704930504.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 122424 + ... + 363864.

It is an arithmetic number, because the mean of its divisors is an integer number (1812625815).

Almost surely, 258704930504 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 58704930504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87006039120).

58704930504 is an abundant number, since it is smaller than the sum of its proper divisors (115307147736).

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

58704930504 is a wasteful number, since it uses less digits than its factorization.

58704930504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241771 (or 241764 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 58704930504 in words is "fifty-eight billion, seven hundred four million, nine hundred thirty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 307 396 614 792 921 1228 1842 2456 2763 3377 3684 5526 6754 7368 10131 11052 13508 20262 22104 27016 30393 40524 60786 81048 121572 241441 243144 482882 724323 965764 1448646 1931528 2172969 2655851 2897292 4345938 5311702 5794584 7967553 8691876 10623404 15935106 17383752 21246808 23902659 31870212 47805318 63740424 74122387 95610636 148244774 191221272 222367161 296489548 444734322 592979096 667101483 815346257 889468644 1334202966 1630692514 1778937288 2446038771 2668405932 3261385028 4892077542 5336811864 6522770056 7338116313 9784155084 14676232626 19568310168 29352465252 58704930504