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20952889344 = 211321136767
BaseRepresentation
bin10011100000111000…
…111011100000000000
32000002020120001200200
4103200320323200000
5320402414424334
613343045045200
71341142422642
oct234070734000
960066501620
1020952889344
1189823a5982
1240890b6800
131c8bc2b89a
14102aa8c892
15829743799
hex4e0e3b800

20952889344 has 72 divisors (see below), whose sum is σ = 60515844480. Its totient is φ = 6984290304.

The previous prime is 20952889343. The next prime is 20952889381. The reversal of 20952889344 is 44398825902.

20952889344 is a `hidden beast` number, since 2 + 0 + 9 + 528 + 89 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20952889343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 549952 + ... + 586815.

It is an arithmetic number, because the mean of its divisors is an integer number (840497840).

Almost surely, 220952889344 is an apocalyptic number.

20952889344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20952889344 is an abundant number, since it is smaller than the sum of its proper divisors (39562955136).

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

20952889344 is a wasteful number, since it uses less digits than its factorization.

20952889344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136795 (or 1136772 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 20952889344 in words is "twenty billion, nine hundred fifty-two million, eight hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 1136767 2273534 3410301 4547068 6820602 9094136 10230903 13641204 18188272 20461806 27282408 36376544 40923612 54564816 72753088 81847224 109129632 145506176 163694448 218259264 291012352 327388896 436518528 582024704 654777792 873037056 1164049408 1309555584 1746074112 2328098816 2619111168 3492148224 5238222336 6984296448 10476444672 20952889344