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20330640544 = 2517233160397
BaseRepresentation
bin10010111011110011…
…001111010010100000
31221110212200112210211
4102323303033102200
5313114120444134
613201220103504
71316545410334
oct227363172240
957425615724
1020330640544
118693131175
123b34834b94
131bc0043126
14dac1937c4
157deccd764
hex4bbccf4a0

20330640544 has 48 divisors (see below), whose sum is σ = 42562571688. Its totient is φ = 9526239232.

The previous prime is 20330640541. The next prime is 20330640557. The reversal of 20330640544 is 44504603302.

It can be written as a sum of positive squares in 4 ways, for example, as 13928720400 + 6401920144 = 118020^2 + 80012^2 .

It is not an unprimeable number, because it can be changed into a prime (20330640541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46554 + ... + 206950.

Almost surely, 220330640544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330640544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21281285844).

20330640544 is an abundant number, since it is smaller than the sum of its proper divisors (22231931144).

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

20330640544 is a wasteful number, since it uses less digits than its factorization.

20330640544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160657 (or 160649 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The spelling of 20330640544 in words is "twenty billion, three hundred thirty million, six hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 233 272 466 544 932 1864 3728 3961 7456 7922 15844 31688 63376 126752 160397 320794 641588 1283176 2566352 2726749 5132704 5453498 10906996 21813992 37372501 43627984 74745002 87255968 149490004 298980008 597960016 635332517 1195920032 1270665034 2541330068 5082660136 10165320272 20330640544