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31644050801 = 11217137112289
BaseRepresentation
bin11101011110001000…
…011110010101110001
310000200022212100002112
4131132020132111301
51004301334111201
622312001455105
72200111664606
oct353610362561
9100608770075
1031644050801
1112469272800
126171641495
132ca3b8241c
1417629286ad
15c5312a0bb
hex75e21e571

31644050801 has 24 divisors (see below), whose sum is σ = 37097471880. Its totient is φ = 26877255680.

The previous prime is 31644050777. The next prime is 31644050807. The reversal of 31644050801 is 10805044613.

It can be written as a sum of positive squares in 4 ways, for example, as 21031960576 + 10612090225 = 145024^2 + 103015^2 .

It is a de Polignac number, because none of the positive numbers 2k-31644050801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31644050807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225665 + ... + 337953.

It is an arithmetic number, because the mean of its divisors is an integer number (1545727995).

Almost surely, 231644050801 is an apocalyptic number.

It is an amenable number.

31644050801 is a deficient number, since it is larger than the sum of its proper divisors (5453421079).

31644050801 is a wasteful number, since it uses less digits than its factorization.

31644050801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112465 (or 112454 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 31644050801 in words is "thirty-one billion, six hundred forty-four million, fifty thousand, eight hundred one".

Divisors: 1 11 17 121 137 187 1507 2057 2329 16577 25619 112289 281809 1235179 1908913 13586969 15383593 20998043 169219523 230978473 261521081 1861414753 2876731891 31644050801