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20858291776 = 267225792
BaseRepresentation
bin10011011011010000…
…000100011001000000
31222211122120000020001
4103123100010121000
5320204210314101
613325425325344
71335613361200
oct233320043100
958748500201
1020858291776
118933a64373
124061496854
131c7545a0aa
14101c2a6400
158212a9901
hex4db404640

20858291776 has 63 divisors (see below), whose sum is σ = 48167010219. Its totient is φ = 8935801728.

The previous prime is 20858291759. The next prime is 20858291887. The reversal of 20858291776 is 67719285802.

The square root of 20858291776 is 144424.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8086455 + ... + 8089033.

Almost surely, 220858291776 is an apocalyptic number.

20858291776 is the 144424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20858291776

20858291776 is an abundant number, since it is smaller than the sum of its proper divisors (27308718443).

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

20858291776 is an frugal number, since it uses more digits than its factorization.

20858291776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5184 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 20858291776 in words is "twenty billion, eight hundred fifty-eight million, two hundred ninety-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 2579 3136 5158 10316 18053 20632 36106 41264 72212 82528 126371 144424 165056 252742 288848 505484 577696 1010968 1155392 2021936 4043872 6651241 8087744 13302482 26604964 46558687 53209928 93117374 106419856 186234748 212839712 325910809 372469496 425679424 651821618 744938992 1303643236 1489877984 2607286472 2979755968 5214572944 10429145888 20858291776