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53917304401 = 89226092
BaseRepresentation
bin110010001101101110…
…001100011001010001
312011011120220212001001
4302031232030121101
51340410312220101
640434054542001
73616056345202
oct621556143121
9164146825031
1053917304401
1120958a04904
12a548967901
1351134c911c
142876ab95a9
151608732901
hexc8db8c651

53917304401 has 9 divisors (see below), whose sum is σ = 54550832401. Its totient is φ = 53291058304.

The previous prime is 53917304381. The next prime is 53917304407. The reversal of 53917304401 is 10440371935.

The square root of 53917304401 is 232201.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6375862801 + 47541441600 = 79849^2 + 218040^2 .

It is not a de Polignac number, because 53917304401 - 25 = 53917304369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53917304407) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 20664585 + ... + 20667193.

Almost surely, 253917304401 is an apocalyptic number.

53917304401 is the 232201-st square number.

53917304401 is the 116101-st centered octagonal number.

It is an amenable number.

53917304401 is a deficient number, since it is larger than the sum of its proper divisors (633528000).

53917304401 is an frugal number, since it uses more digits than its factorization.

53917304401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 53917304401 in words is "fifty-three billion, nine hundred seventeen million, three hundred four thousand, four hundred one".

Divisors: 1 89 2609 7921 232201 6806881 20665889 605812409 53917304401