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20900716704 = 2532759317483
BaseRepresentation
bin10011011101110001…
…111010000010100000
31222221121101102021200
4103131301322002200
5320301040413304
613333542521200
71336640106060
oct233561720240
958847342250
1020900716704
118955a0089a
124073736200
131c811925ba
141023b8b3a0
15824d89e39
hex4ddc7a0a0

20900716704 has 144 divisors (see below), whose sum is σ = 68045769792. Its totient is φ = 5961222144.

The previous prime is 20900716679. The next prime is 20900716721. The reversal of 20900716704 is 40761700902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 1186747 + ... + 1204229.

It is an arithmetic number, because the mean of its divisors is an integer number (472540068).

Almost surely, 220900716704 is an apocalyptic number.

20900716704 is a gapful number since it is divisible by the number (24) 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 20900716704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34022884896).

20900716704 is an abundant number, since it is smaller than the sum of its proper divisors (47145053088).

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

20900716704 is a wasteful number, since it uses less digits than its factorization.

20900716704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18099 (or 18088 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 20900716704 in words is "twenty billion, nine hundred million, seven hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 593 672 1008 1186 1779 2016 2372 3558 4151 4744 5337 7116 8302 9488 10674 12453 14232 16604 17483 18976 21348 24906 28464 33208 34966 37359 42696 49812 52449 56928 66416 69932 74718 85392 99624 104898 122381 132832 139864 149436 157347 170784 199248 209796 244762 279728 298872 314694 367143 398496 419592 489524 559456 597744 629388 734286 839184 979048 1101429 1195488 1258776 1468572 1678368 1958096 2202858 2517552 2937144 3916192 4405716 5035104 5874288 8811432 10367419 11748576 17622864 20734838 31102257 35245728 41469676 62204514 72571933 82939352 93306771 124409028 145143866 165878704 186613542 217715799 248818056 290287732 331757408 373227084 435431598 497636112 580575464 653147397 746454168 870863196 995272224 1161150928 1306294794 1492908336 1741726392 2322301856 2612589588 2985816672 3483452784 5225179176 6966905568 10450358352 20900716704