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20903932416 = 293167227359
BaseRepresentation
bin10011011101111110…
…001011001000000000
31222221211102210102010
4103131332023020000
5320302401314131
613334135452520
71340006331243
oct233576131000
958854383363
1020903932416
1189577a7904
124074827140
131c81a4a1a3
14102438725a
158252c2b46
hex4ddf8b200

20903932416 has 160 divisors (see below), whose sum is σ = 56426388480. Its totient is φ = 6876532736.

The previous prime is 20903932391. The next prime is 20903932433. The reversal of 20903932416 is 61423930902.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58228045 + ... + 58228403.

It is an arithmetic number, because the mean of its divisors is an integer number (352664928).

Almost surely, 220903932416 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 20903932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28213194240).

20903932416 is an abundant number, since it is smaller than the sum of its proper divisors (35522456064).

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

20903932416 is a wasteful number, since it uses less digits than its factorization.

20903932416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 20903932416 in words is "twenty billion, nine hundred three million, nine hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 227 256 334 359 384 454 501 512 668 681 718 768 908 1002 1077 1336 1362 1436 1536 1816 2004 2154 2672 2724 2872 3632 4008 4308 5344 5448 5744 7264 8016 8616 10688 10896 11488 14528 16032 17232 21376 21792 22976 29056 32064 34464 37909 42752 43584 45952 58112 59953 64128 68928 75818 81493 85504 87168 91904 113727 116224 119906 128256 137856 151636 162986 174336 179859 183808 227454 239812 244479 256512 275712 303272 325972 348672 359718 454908 479624 488958 551424 606544 651944 719436 909816 959248 977916 1213088 1303888 1438872 1819632 1918496 1955832 2426176 2607776 2877744 3639264 3836992 3911664 4852352 5215552 5755488 7278528 7673984 7823328 9704704 10431104 11510976 13609331 14557056 15347968 15646656 19409408 20862208 23021952 27218662 29114112 30695936 31293312 40827993 41724416 46043904 54437324 58228224 62586624 81655986 92087808 108874648 125173248 163311972 217749296 326623944 435498592 653247888 870997184 1306495776 1741994368 2612991552 3483988736 5225983104 6967977472 10451966208 20903932416