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20833113920 = 2651911330323
BaseRepresentation
bin10011011001110000…
…000001011101000000
31222202220011211200212
4103121300001131000
5320131234121140
613323125533252
71335156355313
oct233160013500
958686154625
1020833113920
118920827923
124054b74228
131c70182c58
141018bd097a
1581de84765
hex4d9c01740

20833113920 has 112 divisors (see below), whose sum is σ = 52683704640. Its totient is φ = 7824531456.

The previous prime is 20833113853. The next prime is 20833113941. The reversal of 20833113920 is 2931133802.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671879 + ... + 702201.

It is an arithmetic number, because the mean of its divisors is an integer number (470390220).

Almost surely, 220833113920 is an apocalyptic number.

20833113920 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 20833113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26341852320).

20833113920 is an abundant number, since it is smaller than the sum of its proper divisors (31850590720).

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

20833113920 is a wasteful number, since it uses less digits than its factorization.

20833113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30472 (or 30462 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 20833113920 in words is "twenty billion, eight hundred thirty-three million, one hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 113 152 160 190 226 304 320 380 452 565 608 760 904 1130 1216 1520 1808 2147 2260 3040 3616 4294 4520 6080 7232 8588 9040 10735 17176 18080 21470 30323 34352 36160 42940 60646 68704 85880 121292 137408 151615 171760 242584 303230 343520 485168 576137 606460 687040 970336 1152274 1212920 1940672 2304548 2425840 2880685 3426499 4609096 4851680 5761370 6852998 9218192 9703360 11522740 13705996 17132495 18436384 23045480 27411992 34264990 36872768 46090960 54823984 65103481 68529980 92181920 109647968 130206962 137059960 184363840 219295936 260413924 274119920 325517405 520827848 548239840 651034810 1041655696 1096479680 1302069620 2083311392 2604139240 4166622784 5208278480 10416556960 20833113920