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21950734656 = 263197338209
BaseRepresentation
bin10100011100010111…
…011010000101000000
32002122210011212010110
4110130113122011000
5324423342002111
614030052231320
71404650110644
oct243427320500
962583155113
1021950734656
119344687924
12430730b540
1320ba8930b6
1410c33d8c24
1588714b5a6
hex51c5da140

21950734656 has 112 divisors (see below), whose sum is σ = 61225582400. Its totient is φ = 6921510912.

The previous prime is 21950734639. The next prime is 21950734681. The reversal of 21950734656 is 65643705912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2669880 + ... + 2678088.

Almost surely, 221950734656 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 21950734656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30612791200).

21950734656 is an abundant number, since it is smaller than the sum of its proper divisors (39274847744).

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

21950734656 is a wasteful number, since it uses less digits than its factorization.

21950734656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 8966 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 21950734656 in words is "twenty-one billion, nine hundred fifty million, seven hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 733 912 1216 1466 1824 2199 2932 3648 4398 5864 8209 8796 11728 13927 16418 17592 23456 24627 27854 32836 35184 41781 46912 49254 55708 65672 70368 83562 98508 111416 131344 140736 155971 167124 197016 222832 262688 311942 334248 394032 445664 467913 525376 623884 668496 788064 891328 935826 1247768 1336992 1576128 1871652 2495536 2673984 3743304 4991072 6017197 7486608 9982144 12034394 14973216 18051591 24068788 29946432 36103182 48137576 72206364 96275152 114326743 144412728 192550304 228653486 288825456 342980229 385100608 457306972 577650912 685960458 914613944 1155301824 1371920916 1829227888 2743841832 3658455776 5487683664 7316911552 10975367328 21950734656