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20166516400 = 2452192653489
BaseRepresentation
bin10010110010000001…
…001001111010110000
31221001102212011210211
4102302001021322300
5312300112011100
613133034233504
71312513363312
oct226201117260
957042764724
1020166516400
118609522288
123aa9885894
131b9503a454
14d9446d7b2
157d06ae1ba
hex4b2049eb0

20166516400 has 60 divisors (see below), whose sum is σ = 51000077800. Its totient is φ = 7642045440.

The previous prime is 20166516353. The next prime is 20166516413. The reversal of 20166516400 is 461566102.

It is a super-2 number, since 2×201665164002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1319145 + ... + 1334344.

Almost surely, 220166516400 is an apocalyptic number.

20166516400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20166516400 is an abundant number, since it is smaller than the sum of its proper divisors (30833561400).

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

20166516400 is a wasteful number, since it uses less digits than its factorization.

20166516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653526 (or 2653515 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 20166516400 in words is "twenty billion, one hundred sixty-six million, five hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 2653489 5306978 10613956 13267445 21227912 26534890 42455824 50416291 53069780 66337225 100832582 106139560 132674450 201665164 212279120 252081455 265348900 403330328 504162910 530697800 806660656 1008325820 1061395600 1260407275 2016651640 2520814550 4033303280 5041629100 10083258200 20166516400