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21354845312 = 271011651829
BaseRepresentation
bin10011111000110110…
…010001010010000000
32001010020220112121202
4103320312101102000
5322213320022222
613451004240332
71354123122143
oct237066212200
961106815552
1021354845312
119069287399
12417b8400a8
1320242a6558
14106820205a
1584eb91892
hex4f8d91480

21354845312 has 32 divisors (see below), whose sum is σ = 42964098300. Its totient is φ = 10571699200.

The previous prime is 21354845269. The next prime is 21354845357.

21354845312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 19192223296 + 2162622016 = 138536^2 + 46504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 812987 + ... + 838842.

Almost surely, 221354845312 is an apocalyptic number.

It is an amenable number.

21354845312 is an abundant number, since it is smaller than the sum of its proper divisors (21609252988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21354845312 is a wasteful number, since it uses less digits than its factorization.

21354845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651944 (or 1651932 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The spelling of 21354845312 in words is "twenty-one billion, three hundred fifty-four million, eight hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 1651829 3303658 6607316 13214632 26429264 52858528 105717056 166834729 211434112 333669458 667338916 1334677832 2669355664 5338711328 10677422656 21354845312