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58145605956 = 2232401892
BaseRepresentation
bin110110001001101111…
…111000100101000100
312120002021012211100100
4312021233320211010
51423040233342311
642413422044100
74125621332034
oct661157704504
9176067184310
1058145605956
11227287513a9
12b328a19630
1356385039c9
142b5849b8c4
1517a4a52a56
hexd89bf8944

58145605956 has 27 divisors (see below), whose sum is σ = 146982827901. Its totient is φ = 19381386384.

The previous prime is 58145605943. The next prime is 58145606003. The reversal of 58145605956 is 65950654185.

The square root of 58145605956 is 241134.

It is a perfect power (a square), and thus also a powerful number.

58145605956 is a `hidden beast` number, since 5 + 8 + 1 + 45 + 6 + 0 + 595 + 6 = 666.

58145605956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 833245956 + 57312360000 = 28866^2 + 239400^2 .

It is a super-2 number, since 2×581456059562 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1426710 + ... + 1466898.

Almost surely, 258145605956 is an apocalyptic number.

58145605956 is the 241134-th square number.

It is an amenable number.

58145605956 is an abundant number, since it is smaller than the sum of its proper divisors (88837221945).

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

58145605956 is an frugal number, since it uses more digits than its factorization.

58145605956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80388 (or 40194 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 58145605956 in words is "fifty-eight billion, one hundred forty-five million, six hundred five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 40189 80378 120567 160756 241134 361701 482268 723402 1446804 1615155721 3230311442 4845467163 6460622884 9690934326 14536401489 19381868652 29072802978 58145605956