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5336156401 = 17242972
BaseRepresentation
bin1001111100000111…
…10100100011110001
3111202212220211110021
410332003310203301
541412024001101
62241300203441
7246143403202
oct47603644361
914685824407
105336156401
112299137314
12104b099581
136706a88c4
143889a75a9
152137085a1
hex13e0f48f1

5336156401 has 9 divisors (see below), whose sum is σ = 5669831649. Its totient is φ = 5021096064.

The previous prime is 5336156393. The next prime is 5336156431. The reversal of 5336156401 is 1046516335.

The square root of 5336156401 is 73049.

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 564110001 + 4772046400 = 23751^2 + 69080^2 .

It is not a de Polignac number, because 5336156401 - 23 = 5336156393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5336156431) 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, 1239685 + ... + 1243981.

Almost surely, 25336156401 is an apocalyptic number.

5336156401 is the 73049-th square number.

5336156401 is the 36525-th centered octagonal number.

It is an amenable number.

5336156401 is a deficient number, since it is larger than the sum of its proper divisors (333675248).

5336156401 is an frugal number, since it uses more digits than its factorization.

5336156401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The cubic root of 5336156401 is about 1747.4691471921.

Multiplying 5336156401 by its product of nonzero digits (32400), we get a square (172891467392400 = 131488202).

The spelling of 5336156401 in words is "five billion, three hundred thirty-six million, one hundred fifty-six thousand, four hundred one".

Divisors: 1 17 289 4297 73049 1241833 18464209 313891553 5336156401