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20833541640 = 23325181319729
BaseRepresentation
bin10011011001110001…
…101001111000001000
31222202220222120102100
4103121301221320020
5320131341313030
613323143033400
71335163116312
oct233161517010
958686876370
1020833541640
118920a9a20a
12405513b860
131c702a2842
141018ca27b2
1581e01b360
hex4d9c69e08

20833541640 has 96 divisors (see below), whose sum is σ = 68083306200. Its totient is φ = 5524899840.

The previous prime is 20833541551. The next prime is 20833541653. The reversal of 20833541640 is 4614533802.

20833541640 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 3 + 5 + 4 + 1 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4850008164 + 15983533476 = 69642^2 + 126426^2 .

It is a super-2 number, since 2×208335416402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20833541595 and 20833541604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94705 + ... + 225024.

Almost surely, 220833541640 is an apocalyptic number.

20833541640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20833541640 is an abundant number, since it is smaller than the sum of its proper divisors (47249764560).

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

20833541640 is a wasteful number, since it uses less digits than its factorization.

20833541640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319927 (or 319920 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20833541640 in words is "twenty billion, eight hundred thirty-three million, five hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 181 360 362 543 724 905 1086 1448 1629 1810 2172 2715 3258 3620 4344 5430 6516 7240 8145 10860 13032 16290 21720 32580 65160 319729 639458 959187 1278916 1598645 1918374 2557832 2877561 3197290 3836748 4795935 5755122 6394580 7673496 9591870 11510244 12789160 14387805 19183740 23020488 28775610 38367480 57551220 57870949 115102440 115741898 173612847 231483796 289354745 347225694 462967592 520838541 578709490 694451388 868064235 1041677082 1157418980 1388902776 1736128470 2083354164 2314837960 2604192705 3472256940 4166708328 5208385410 6944513880 10416770820 20833541640