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21253953792 = 283176126687
BaseRepresentation
bin10011110010110101…
…011001100100000000
32000212020001201110210
4103302311121210000
5322012003010132
613433001554120
71351456424601
oct236265314400
960766051423
1021253953792
119017337075
124151aa5940
132009410026
141058a5bda8
15845db2bcc
hex4f2d59900

21253953792 has 144 divisors (see below), whose sum is σ = 60878103552. Its totient is φ = 6558351360.

The previous prime is 21253953767. The next prime is 21253953817. The reversal of 21253953792 is 29735935212.

It is an interprime number because it is at equal distance from previous prime (21253953767) and next prime (21253953817).

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

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, 783073 + ... + 809759.

It is an arithmetic number, because the mean of its divisors is an integer number (422764608).

Almost surely, 221253953792 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 21253953792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30439051776).

21253953792 is an abundant number, since it is smaller than the sum of its proper divisors (39624149760).

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

21253953792 is a wasteful number, since it uses less digits than its factorization.

21253953792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26784 (or 26770 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 48.

The spelling of 21253953792 in words is "twenty-one billion, two hundred fifty-three million, nine hundred fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 64 68 96 102 122 128 136 183 192 204 244 256 272 366 384 408 488 544 732 768 816 976 1037 1088 1464 1632 1952 2074 2176 2928 3111 3264 3904 4148 4352 5856 6222 6528 7808 8296 11712 12444 13056 15616 16592 23424 24888 26687 33184 46848 49776 53374 66368 80061 99552 106748 132736 160122 199104 213496 265472 320244 398208 426992 453679 640488 796416 853984 907358 1280976 1361037 1627907 1707968 1814716 2561952 2722074 3255814 3415936 3629432 4883721 5123904 5444148 6511628 6831872 7258864 9767442 10247808 10888296 13023256 14517728 19534884 20495616 21776592 26046512 27674419 29035456 39069768 43553184 52093024 55348838 58070912 78139536 83023257 87106368 104186048 110697676 116141824 156279072 166046514 174212736 208372096 221395352 312558144 332093028 348425472 416744192 442790704 625116288 664186056 885581408 1250232576 1328372112 1771162816 2656744224 3542325632 5313488448 7084651264 10626976896 21253953792