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20959990252704 = 2532292509577377
BaseRepresentation
bin1001100010000001000001…
…10001100000010010100000
32202012202101202111011212100
410301000200301200102200
510221402030001041304
6112324515300530400
74262211045362226
oct461004061402240
982182352434770
1020959990252704
11675109a087678
12242622a3b0a00
13b90698496499
1452667cabab16
1526533dd3c439
hex131020c604a0

20959990252704 has 72 divisors (see below), whose sum is σ = 61660316177460. Its totient is φ = 6745743986688.

The previous prime is 20959990252657. The next prime is 20959990252711. The reversal of 20959990252704 is 40725209995902.

20959990252704 is a `hidden beast` number, since 209 + 5 + 99 + 90 + 252 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20944352250000 + 15638002704 = 4576500^2 + 125052^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1254780337 + ... + 1254797040.

Almost surely, 220959990252704 is an apocalyptic number.

20959990252704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20959990252704 is an abundant number, since it is smaller than the sum of its proper divisors (40700325924756).

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

20959990252704 is a wasteful number, since it uses less digits than its factorization.

20959990252704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509577422 (or 2509577411 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 20959990252704 in words is "twenty trillion, nine hundred fifty-nine billion, nine hundred ninety million, two hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 2509577377 5019154754 7528732131 10038309508 15057464262 20076619016 22586196393 30114928524 40153238032 45172392786 60229857048 72777743933 80306476064 90344785572 120459714096 145555487866 180689571144 218333231799 240919428192 291110975732 361379142288 436666463598 582221951464 654999695397 722758284576 873332927196 1164443902928 1309999390794 1746665854392 2328887805856 2619998781588 3493331708784 5239997563176 6986663417568 10479995126352 20959990252704