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21330790656 = 283734911369
BaseRepresentation
bin10011110111011010…
…100000100100000000
32001001120122102211120
4103313122200210000
5322141140300111
613444344512240
71353411505020
oct236732404400
961046572746
1021330790656
11905674780a
12417377b680
13201c303726
141064d3da80
1584c9de406
hex4f76a0900

21330790656 has 144 divisors (see below), whose sum is σ = 65072784000. Its totient is φ = 6076514304.

The previous prime is 21330790639. The next prime is 21330790661. The reversal of 21330790656 is 65609703312.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1870540 + ... + 1881908.

Almost surely, 221330790656 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 21330790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32536392000).

21330790656 is an abundant number, since it is smaller than the sum of its proper divisors (43741993344).

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

21330790656 is a wasteful number, since it uses less digits than its factorization.

21330790656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11744 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 21330790656 in words is "twenty-one billion, three hundred thirty million, seven hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 349 384 448 672 698 768 896 1047 1344 1396 1792 2094 2443 2688 2792 4188 4886 5376 5584 7329 8376 9772 11168 11369 14658 16752 19544 22336 22738 29316 33504 34107 39088 44672 45476 58632 67008 68214 78176 79583 89344 90952 117264 134016 136428 156352 159166 181904 234528 238749 268032 272856 312704 318332 363808 469056 477498 545712 625408 636664 727616 938112 954996 1091424 1273328 1455232 1876224 1909992 2182848 2546656 2910464 3819984 3967781 4365696 5093312 7639968 7935562 8731392 10186624 11903343 15279936 15871124 20373248 23806686 27774467 30559872 31742248 47613372 55548934 61119744 63484496 83323401 95226744 111097868 126968992 166646802 190453488 222195736 253937984 333293604 380906976 444391472 507875968 666587208 761813952 888782944 1015751936 1333174416 1523627904 1777565888 2666348832 3047255808 3555131776 5332697664 7110263552 10665395328 21330790656