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538980674401 = 13172693905617
BaseRepresentation
bin1111101011111011100…
…00000110101101100001
31220112012111020010220001
413311331300012231201
532312313023040101
61051334310220001
753640305066401
oct7657560065541
91815174203801
10538980674401
111986425a3094
128855b654601
133ba96c879a0
141c130292801
15e047dbc901
hex7d7dc06b61

538980674401 has 16 divisors (see below), whose sum is σ = 614813192784. Its totient is φ = 468080308224.

The previous prime is 538980674329. The next prime is 538980674417. The reversal of 538980674401 is 104476089835.

It can be written as a sum of positive squares in 8 ways, for example, as 102160140625 + 436820533776 = 319625^2 + 660924^2 .

It is a cyclic number.

It is not a de Polignac number, because 538980674401 - 219 = 538980150113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (538980674101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142345 + ... + 1047961.

It is an arithmetic number, because the mean of its divisors is an integer number (38425824549).

Almost surely, 2538980674401 is an apocalyptic number.

It is an amenable number.

538980674401 is a deficient number, since it is larger than the sum of its proper divisors (75832518383).

538980674401 is a wasteful number, since it uses less digits than its factorization.

538980674401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908340.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 538980674401 in words is "five hundred thirty-eight billion, nine hundred eighty million, six hundred seventy-four thousand, four hundred one".

Divisors: 1 13 17 221 2693 35009 45781 595153 905617 11773021 15395489 200141357 2438826581 31704745553 41460051877 538980674401