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21684065000 = 2354132711231
BaseRepresentation
bin10100001100011110…
…001001001011101000
32001222012101122010112
4110030132021023220
5323402110040000
613543404433452
71365231340253
oct241436111350
961865348115
1021684065000
1192180a8a84
124251b48888
1320775650c0
141099c2009a
1586da23235
hex50c7892e8

21684065000 has 160 divisors (see below), whose sum is σ = 54960407040. Its totient is φ = 7970400000.

The previous prime is 21684064999. The next prime is 21684065021. The reversal of 21684065000 is 56048612.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17614385 + ... + 17615615.

It is an arithmetic number, because the mean of its divisors is an integer number (343502544).

Almost surely, 221684065000 is an apocalyptic number.

21684065000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21684065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480203520).

21684065000 is an abundant number, since it is smaller than the sum of its proper divisors (33276342040).

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

21684065000 is a wasteful number, since it uses less digits than its factorization.

21684065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 21684065000 in words is "twenty-one billion, six hundred eighty-four million, sixty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 271 325 500 520 542 625 650 1000 1084 1231 1250 1300 1355 1625 2168 2462 2500 2600 2710 3250 3523 4924 5000 5420 6155 6500 6775 7046 8125 9848 10840 12310 13000 13550 14092 16003 16250 17615 24620 27100 28184 30775 32006 32500 33875 35230 49240 54200 61550 64012 65000 67750 70460 80015 88075 123100 128024 135500 140920 153875 160030 169375 176150 246200 271000 307750 320060 333601 338750 352300 400075 440375 615500 640120 667202 677500 704600 769375 800150 880750 1231000 1334404 1355000 1538750 1600300 1668005 1761500 2000375 2201875 2668808 3077500 3200600 3336010 3523000 4000750 4336813 4403750 6155000 6672020 8001500 8340025 8673626 8807500 10001875 13344040 16003000 16680050 17347252 17615000 20003750 21684065 33360100 34694504 40007500 41700125 43368130 66720200 80015000 83400250 86736260 108420325 166800500 173472520 208500625 216840650 333601000 417001250 433681300 542101625 834002500 867362600 1084203250 1668005000 2168406500 2710508125 4336813000 5421016250 10842032500 21684065000