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91571601664 = 28189132
BaseRepresentation
bin101010101001000010…
…1111100000100000000
322202100210010100022101
41111102011330010000
53000014312223124
6110022321120144
76421141525414
oct1252205740400
9282323110271
1091571601664
1135920866744
12158b7189054
1388345c40aa
14460991cd44
1525ae31b644
hex155217c100

91571601664 has 27 divisors (see below), whose sum is σ = 182795166813. Its totient is φ = 45783379968.

The previous prime is 91571601493. The next prime is 91571601691. The reversal of 91571601664 is 46610617519.

The square root of 91571601664 is 302608.

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., 88804000000 + 2767601664 = 298000^2 + 52608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4832272 + ... + 4851184.

Almost surely, 291571601664 is an apocalyptic number.

91571601664 is the 302608-th square number.

It is an amenable number.

91571601664 is a deficient number, since it is larger than the sum of its proper divisors (91223565149).

91571601664 is an frugal number, since it uses more digits than its factorization.

91571601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37842 (or 18915 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 91571601664 in words is "ninety-one billion, five hundred seventy-one million, six hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 18913 37826 75652 151304 302608 605216 1210432 2420864 4841728 357701569 715403138 1430806276 2861612552 5723225104 11446450208 22892900416 45785800832 91571601664