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21693890880 = 263352510867
BaseRepresentation
bin10100001101000011…
…101000000101000000
32001222212212211201000
4110031003220011000
5323412114002010
613544355212000
71365411013164
oct241503500500
961885784630
1021693890880
1192226aa342
1242552a7000
1320795c562c
14109b25aca4
1586e8147c0
hex50d0e8140

21693890880 has 112 divisors (see below), whose sum is σ = 76531256640. Its totient is φ = 5785035264.

The previous prime is 21693890863. The next prime is 21693890891. The reversal of 21693890880 is 8809839612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246794 + ... + 1264073.

Almost surely, 221693890880 is an apocalyptic number.

21693890880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21693890880 is an abundant number, since it is smaller than the sum of its proper divisors (54837365760).

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

21693890880 is a wasteful number, since it uses less digits than its factorization.

21693890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510893 (or 2510877 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 21693890880 in words is "twenty-one billion, six hundred ninety-three million, eight hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 2510867 5021734 7532601 10043468 12554335 15065202 20086936 22597803 25108670 30130404 37663005 40173872 45195606 50217340 60260808 67793409 75326010 80347744 90391212 100434680 112989015 120521616 135586818 150652020 160695488 180782424 200869360 225978030 241043232 271173636 301304040 338967045 361564848 401738720 451956060 482086464 542347272 602608080 677934090 723129696 803477440 903912120 1084694544 1205216160 1355868180 1446259392 1807824240 2169389088 2410432320 2711736360 3615648480 4338778176 5423472720 7231296960 10846945440 21693890880