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20564542464 = 21038597793
BaseRepresentation
bin10011001001101111…
…100000010000000000
31222002011210222220220
4103021233200100000
5314104010324324
613240333303040
71325415504204
oct231157402000
958064728826
1020564542464
1187a316a144
123b9b034a80
131c2963a42b
14dd127cb04
158055d2b79
hex4c9be0400

20564542464 has 88 divisors (see below), whose sum is σ = 54882853920. Its totient is φ = 6845988864.

The previous prime is 20564542459. The next prime is 20564542483. The reversal of 20564542464 is 46424546502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2634952 + ... + 2642744.

Almost surely, 220564542464 is an apocalyptic number.

20564542464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20564542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27441426960).

20564542464 is an abundant number, since it is smaller than the sum of its proper divisors (34318311456).

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

20564542464 is an equidigital number, since it uses as much as digits as its factorization.

20564542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8675 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 20564542464 in words is "twenty billion, five hundred sixty-four million, five hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 859 1024 1536 1718 2577 3072 3436 5154 6872 7793 10308 13744 15586 20616 23379 27488 31172 41232 46758 54976 62344 82464 93516 109952 124688 164928 187032 219904 249376 329856 374064 439808 498752 659712 748128 879616 997504 1319424 1496256 1995008 2638848 2992512 3990016 5985024 6694187 7980032 11970048 13388374 20082561 23940096 26776748 40165122 53553496 80330244 107106992 160660488 214213984 321320976 428427968 642641952 856855936 1285283904 1713711872 2570567808 3427423744 5141135616 6854847488 10282271232 20564542464