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31648054201 = 41243392
BaseRepresentation
bin11101011110010111…
…101111101110111001
310000200121101201201121
4131132113233232321
51004303400213301
622312223345241
72200161010411
oct353627575671
9100617351647
1031648054201
11124705575a5
126172a52221
132ca49546ba
14176328b641
15c5366b3a1
hex75e5efbb9

31648054201 has 9 divisors (see below), whose sum is σ = 32446262703. Its totient is φ = 30869034480.

The previous prime is 31648054183. The next prime is 31648054259. The reversal of 31648054201 is 10245084613.

The square root of 31648054201 is 177899.

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., 1524980601 + 30123073600 = 39051^2 + 173560^2 .

It is not a de Polignac number, because 31648054201 - 25 = 31648054169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31648054271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7291690 + ... + 7296028.

Almost surely, 231648054201 is an apocalyptic number.

31648054201 is the 177899-th square number.

31648054201 is the 88950-th centered octagonal number.

It is an amenable number.

31648054201 is a deficient number, since it is larger than the sum of its proper divisors (798208502).

31648054201 is an frugal number, since it uses more digits than its factorization.

31648054201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 31648054201 in words is "thirty-one billion, six hundred forty-eight million, fifty-four thousand, two hundred one".

Divisors: 1 41 1681 4339 177899 7293859 18826921 771903761 31648054201