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20864006448 = 2437332809
BaseRepresentation
bin10011011011100101…
…110111100100110000
31222212001022100021120
4103123211313210300
5320212141201243
613330152022240
71336013062065
oct233345674460
958761270246
1020864006448
11893720793a
124063391980
131c766ab25c
14101cd52c6c
15821a37c83
hex4db977930

20864006448 has 60 divisors (see below), whose sum is σ = 54039030120. Its totient is φ = 6936595968.

The previous prime is 20864006437. The next prime is 20864006489. The reversal of 20864006448 is 84460046802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25789468 + ... + 25790276.

It is an arithmetic number, because the mean of its divisors is an integer number (900650502).

Almost surely, 220864006448 is an apocalyptic number.

It is an amenable number.

20864006448 is an abundant number, since it is smaller than the sum of its proper divisors (33175023672).

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

20864006448 is an frugal number, since it uses more digits than its factorization.

20864006448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 20864006448 in words is "twenty billion, eight hundred sixty-four million, six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 733 809 1466 1618 2199 2427 2932 3236 4398 4854 5864 6472 8796 9708 11728 12944 17592 19416 35184 38832 537289 592997 1074578 1185994 1611867 1778991 2149156 2371988 3223734 3557982 4298312 4743976 6447468 7115964 8596624 9487952 12894936 14231928 25789872 28463856 434666801 869333602 1304000403 1738667204 2608000806 3477334408 5216001612 6954668816 10432003224 20864006448