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20933035264 = 282313925577
BaseRepresentation
bin10011011111101101…
…001100010100000000
32000000212012101000101
4103133231030110000
5320332324112024
613341055332144
71340511602221
oct233755142400
960025171011
1020933035264
118972175249
124082521054
131c87a999cb
1410281a1248
15827b20c44
hex4dfb4c500

20933035264 has 72 divisors (see below), whose sum is σ = 43916402880. Its totient is φ = 9939038208.

The previous prime is 20933035219. The next prime is 20933035303. The reversal of 20933035264 is 46253033902.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 805644 + ... + 831220.

It is an arithmetic number, because the mean of its divisors is an integer number (609950040).

Almost surely, 220933035264 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 20933035264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21958201440).

20933035264 is an abundant number, since it is smaller than the sum of its proper divisors (22983367616).

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

20933035264 is a wasteful number, since it uses less digits than its factorization.

20933035264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25755 (or 25741 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 37.

The spelling of 20933035264 in words is "twenty billion, nine hundred thirty-three million, thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 139 184 256 278 368 556 736 1112 1472 2224 2944 3197 4448 5888 6394 8896 12788 17792 25576 25577 35584 51152 51154 102304 102308 204608 204616 409216 409232 588271 818432 818464 1176542 1636928 2353084 3273856 3555203 4706168 6547712 7110406 9412336 14220812 18824672 28441624 37649344 56883248 75298688 81769669 113766496 150597376 163539338 227532992 327078676 455065984 654157352 910131968 1308314704 2616629408 5233258816 10466517632 20933035264