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20664616410 = 23251919761343
BaseRepresentation
bin10011001111101101…
…010000010111011010
31222100011010021120100
4103033231100113122
5314310120211120
613254310240230
71331042225034
oct231755202732
958304107510
1020664616410
118844701189
124008656076
131c442a8799
14100068cc54
1580e29e490
hex4cfb505da

20664616410 has 96 divisors (see below), whose sum is σ = 56843804160. Its totient is φ = 5193949824.

The previous prime is 20664616397. The next prime is 20664616421. The reversal of 20664616410 is 1461646602.

20664616410 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 4 + 6 + 1 + 641 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306199 + ... + 367541.

It is an arithmetic number, because the mean of its divisors is an integer number (592122960).

Almost surely, 220664616410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20664616410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28421902080).

20664616410 is an abundant number, since it is smaller than the sum of its proper divisors (36179187750).

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

20664616410 is a wasteful number, since it uses less digits than its factorization.

20664616410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61572 (or 61569 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20664616410 in words is "twenty billion, six hundred sixty-four million, six hundred sixteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 197 285 342 394 570 591 855 985 1182 1710 1773 1970 2955 3546 3743 5910 7486 8865 11229 17730 18715 22458 33687 37430 56145 61343 67374 112290 122686 168435 184029 306715 336870 368058 552087 613430 920145 1104174 1165517 1840290 2331034 2760435 3496551 5520870 5827585 6993102 10489653 11655170 12084571 17482755 20979306 24169142 34965510 36253713 52448265 60422855 72507426 104896530 108761139 120845710 181268565 217522278 229606849 362537130 459213698 543805695 688820547 1087611390 1148034245 1377641094 2066461641 2296068490 3444102735 4132923282 6888205470 10332308205 20664616410