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21904598640 = 2435199458639
BaseRepresentation
bin10100011001100111…
…011010011001110000
32002112120100220102010
4110121213122121300
5324330034124030
614021323322520
71403550005421
oct243147323160
962476326363
1021904598640
119320636191
1242b3980440
1320b115b692
1410bb229648
158830866b0
hex5199da670

21904598640 has 80 divisors (see below), whose sum is σ = 68245632000. Its totient is φ = 5811860736.

The previous prime is 21904598627. The next prime is 21904598659. The reversal of 21904598640 is 4689540912.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×219045986402 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21904598640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181560 + ... + 277079.

It is an arithmetic number, because the mean of its divisors is an integer number (853070400).

Almost surely, 221904598640 is an apocalyptic number.

21904598640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21904598640 is an abundant number, since it is smaller than the sum of its proper divisors (46341033360).

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

21904598640 is a wasteful number, since it uses less digits than its factorization.

21904598640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458854 (or 458848 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 21904598640 in words is "twenty-one billion, nine hundred four million, five hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 398 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 7960 9552 11940 15920 23880 47760 458639 917278 1375917 1834556 2293195 2751834 3669112 4586390 5503668 6879585 7338224 9172780 11007336 13759170 18345560 22014672 27518340 36691120 55036680 91269161 110073360 182538322 273807483 365076644 456345805 547614966 730153288 912691610 1095229932 1369037415 1460306576 1825383220 2190459864 2738074830 3650766440 4380919728 5476149660 7301532880 10952299320 21904598640