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20579324111840 = 2551349991979177
BaseRepresentation
bin1001010110111011111110…
…10011011010101111100000
32200212100211110222121122102
410223131333103122233200
510144132423433034330
6111434002212225532
74222543556514404
oct453357723325740
980770743877572
1020579324111840
116614707a6085a
1223844b200b2a8
13b6381151a0a0
1451208a55b104
1525a4ae979945
hex12b77f4dabe0

20579324111840 has 96 divisors (see below), whose sum is σ = 52369049880000. Its totient is φ = 7596995825664.

The previous prime is 20579324111837. The next prime is 20579324111849. The reversal of 20579324111840 is 4811142397502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20579324111849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9408332 + ... + 11387508.

It is an arithmetic number, because the mean of its divisors is an integer number (545510936250).

Almost surely, 220579324111840 is an apocalyptic number.

20579324111840 is a gapful number since it is divisible by the number (20) 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 20579324111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26184524940000).

20579324111840 is an abundant number, since it is smaller than the sum of its proper divisors (31789725768160).

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

20579324111840 is a wasteful number, since it uses less digits than its factorization.

20579324111840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984204 (or 1984196 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 20579324111840 in words is "twenty trillion, five hundred seventy-nine billion, three hundred twenty-four million, one hundred eleven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 4999 9998 19996 24995 39992 49990 64987 79984 99980 129974 159968 199960 259948 324935 399920 519896 649870 799840 1039792 1299740 1979177 2079584 2599480 3958354 5198960 7916708 9895885 10397920 15833416 19791770 25729301 31666832 39583540 51458602 63333664 79167080 102917204 128646505 158334160 205834408 257293010 316668320 411668816 514586020 823337632 1029172040 2058344080 4116688160 9893905823 19787811646 39575623292 49469529115 79151246584 98939058230 128620775699 158302493168 197878116460 257241551398 316604986336 395756232920 514483102796 643103878495 791512465840 1028966205592 1286207756990 1583024931680 2057932411184 2572415513980 4115864822368 5144831027960 10289662055920 20579324111840