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20807773968 = 24317103124733
BaseRepresentation
bin10011011000001111…
…010110111100010000
31222201010111102211010
4103120033112330100
5320103242231333
613320422450520
71334431106022
oct233017267420
958633442733
1020807773968
11890849a613
124048593a40
131c67b500b7
1410156b6012
1581bb2b563
hex4d83d6f10

20807773968 has 80 divisors (see below), whose sum is σ = 56972889216. Its totient is φ = 6521333760.

The previous prime is 20807773933. The next prime is 20807773999. The reversal of 20807773968 is 86937770802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828930 + ... + 853662.

Almost surely, 220807773968 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 20807773968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28486444608).

20807773968 is an abundant number, since it is smaller than the sum of its proper divisors (36165115248).

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

20807773968 is a wasteful number, since it uses less digits than its factorization.

20807773968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25792 (or 25786 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 20807773968 in words is "twenty billion, eight hundred seven million, seven hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1031 2062 3093 4124 6186 8248 12372 16496 17527 24733 24744 35054 49466 49488 52581 70108 74199 98932 105162 140216 148398 197864 210324 280432 296796 395728 420461 420648 593592 840922 841296 1187184 1261383 1681844 2522766 3363688 5045532 6727376 10091064 20182128 25499723 50999446 76499169 101998892 152998338 203997784 305996676 407995568 433495291 611993352 866990582 1223986704 1300485873 1733981164 2600971746 3467962328 5201943492 6935924656 10403886984 20807773968