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58903775401 = 29283692
BaseRepresentation
bin110110110110111100…
…000100100010101001
312122001002211211022011
4312312330010202221
51431113331303101
643020544155521
74153455554422
oct666674044251
9178032754264
1058903775401
1122a87711319
12b4ba908ba1
1357295cba93
142bcb058649
1517eb3b5751
hexdb6f048a9

58903775401 has 9 divisors (see below), whose sum is σ = 61012270501. Its totient is φ = 56865815104.

The previous prime is 58903775393. The next prime is 58903775429. The reversal of 58903775401 is 10457730985.

It is a happy number.

The square root of 58903775401 is 242701.

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

58903775401 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 4 ways, for example, as 3782127001 + 55121648400 = 61499^2 + 234780^2 .

It is not a de Polignac number, because 58903775401 - 23 = 58903775393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58903775461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7034145 + ... + 7042513.

Almost surely, 258903775401 is an apocalyptic number.

58903775401 is the 242701-st square number.

58903775401 is the 121351-st centered octagonal number.

It is an amenable number.

58903775401 is a deficient number, since it is larger than the sum of its proper divisors (2108495100).

58903775401 is an frugal number, since it uses more digits than its factorization.

58903775401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16796 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

Multiplying 58903775401 by its sum of digits (49), we get a square (2886284994649 = 16989072).

The spelling of 58903775401 in words is "fifty-eight billion, nine hundred three million, seven hundred seventy-five thousand, four hundred one".

Divisors: 1 29 841 8369 242701 7038329 70040161 2031164669 58903775401