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20556462336 = 283237914731
BaseRepresentation
bin10011001001010000…
…101011100100000000
31222001121121111001220
4103021100223210000
5314044423243321
613235444155040
71325260022034
oct231120534400
958047544056
1020556462336
118799650453
123b98398a80
131c27a6b6a7
14dd01781c4
15804a389c6
hex4c942b900

20556462336 has 144 divisors (see below), whose sum is σ = 57815439360. Its totient is φ = 6470830080.

The previous prime is 20556462301. The next prime is 20556462347. The reversal of 20556462336 is 63326465502.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 1388091 + ... + 1402821.

Almost surely, 220556462336 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 20556462336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28907719680).

20556462336 is an abundant number, since it is smaller than the sum of its proper divisors (37258977024).

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

20556462336 is a wasteful number, since it uses less digits than its factorization.

20556462336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14852 (or 14838 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 20556462336 in words is "twenty billion, five hundred fifty-six million, four hundred sixty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 79 92 96 128 138 158 184 192 237 256 276 316 368 384 474 552 632 736 768 948 1104 1264 1472 1817 1896 2208 2528 2944 3634 3792 4416 5056 5451 5888 7268 7584 8832 10112 10902 14536 14731 15168 17664 20224 21804 29072 29462 30336 43608 44193 58144 58924 60672 87216 88386 116288 117848 174432 176772 232576 235696 338813 348864 353544 465152 471392 677626 697728 707088 942784 1016439 1163749 1355252 1395456 1414176 1885568 2032878 2327498 2710504 2828352 3491247 3771136 4065756 4654996 5421008 5656704 6982494 8131512 9309992 10842016 11313408 13964988 16263024 18619984 21684032 26766227 27929976 32526048 37239968 43368064 53532454 55859952 65052096 74479936 80298681 86736128 107064908 111719904 130104192 148959872 160597362 214129816 223439808 260208384 297919744 321194724 428259632 446879616 642389448 856519264 893759232 1284778896 1713038528 2569557792 3426077056 5139115584 6852154112 10278231168 20556462336