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368795071225 = 5272173512
BaseRepresentation
bin1010101110111011110…
…01100011001011111001
31022020220221222202002001
411113131321203023321
522020243014234400
6441231102141001
735434041245200
oct5273571431371
91266827882061
10368795071225
11132450226569
125b584881761
1328a14747549
1413bc7b04237
1598d710da6a
hex55dde632f9

368795071225 has 27 divisors (see below), whose sum is σ = 531998735151. Its totient is φ = 252873474000.

The previous prime is 368795071147. The next prime is 368795071237. The reversal of 368795071225 is 522170597863.

The square root of 368795071225 is 607285.

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

It can be written as a sum of positive squares in only one way, i.e., 132766225641 + 236028845584 = 364371^2 + 485828^2 .

It is not a de Polignac number, because 368795071225 - 27 = 368795071097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21246300 + ... + 21263650.

Almost surely, 2368795071225 is an apocalyptic number.

368795071225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

368795071225 is the 607285-th square number.

368795071225 is the 303643-rd centered octagonal number.

It is an amenable number.

368795071225 is a deficient number, since it is larger than the sum of its proper divisors (163203663926).

368795071225 is an frugal number, since it uses more digits than its factorization.

368795071225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34726 (or 17363 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 368795071225 in words is "three hundred sixty-eight billion, seven hundred ninety-five million, seventy-one thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 17351 86755 121457 433775 607285 850199 3036425 4250995 21254975 301057201 1505286005 2107400407 7526430025 10537002035 14751802849 52685010175 73759014245 368795071225