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21690686376 = 23321719989051
BaseRepresentation
bin10100001100110111…
…011001101110101000
32001222122212000221200
4110030313121232220
5323410303431001
613544202404200
71365341535462
oct241467315650
961878760850
1021690686376
119220910797
124254200660
132078a42b88
14109aa65132
1586e3d0086
hex50cdd9ba8

21690686376 has 96 divisors (see below), whose sum is σ = 62514504000. Its totient is φ = 6770649600.

The previous prime is 21690686363. The next prime is 21690686389. The reversal of 21690686376 is 67368609612.

It is an interprime number because it is at equal distance from previous prime (21690686363) and next prime (21690686389).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199051 + ... + 288101.

It is an arithmetic number, because the mean of its divisors is an integer number (651192750).

Almost surely, 221690686376 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 21690686376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31257252000).

21690686376 is an abundant number, since it is smaller than the sum of its proper divisors (40823817624).

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

21690686376 is a wasteful number, since it uses less digits than its factorization.

21690686376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89279 (or 89272 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 21690686376 in words is "twenty-one billion, six hundred ninety million, six hundred eighty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 199 204 306 398 408 597 612 796 1194 1224 1592 1791 2388 3383 3582 4776 6766 7164 10149 13532 14328 20298 27064 30447 40596 60894 81192 89051 121788 178102 243576 267153 356204 534306 712408 801459 1068612 1513867 1602918 2137224 3027734 3205836 4541601 6055468 6411672 9083202 12110936 13624803 17721149 18166404 27249606 35442298 36332808 53163447 54499212 70884596 106326894 108998424 141769192 159490341 212653788 301259533 318980682 425307576 602519066 637961364 903778599 1205038132 1275922728 1807557198 2410076264 2711335797 3615114396 5422671594 7230228792 10845343188 21690686376