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21023804640 = 2535149293957
BaseRepresentation
bin10011100101000111…
…011100110011100000
32000021011222221012010
4103211013130303200
5321024043222030
613354101032520
71342663251036
oct234507346340
960234887163
1021023804640
118a09431663
1240a89b5740
131ca082abb7
14103626c556
15830aa06b0
hex4e51dcce0

21023804640 has 96 divisors (see below), whose sum is σ = 66669674400. Its totient is φ = 5568702464.

The previous prime is 21023804629. The next prime is 21023804653. The reversal of 21023804640 is 4640832012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21023804598 and 21023804607.

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, 75459 + ... + 218498.

It is an arithmetic number, because the mean of its divisors is an integer number (694475775).

Almost surely, 221023804640 is an apocalyptic number.

21023804640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21023804640 is an abundant number, since it is smaller than the sum of its proper divisors (45645869760).

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

21023804640 is a wasteful number, since it uses less digits than its factorization.

21023804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294124 (or 294116 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 21023804640 in words is "twenty-one billion, twenty-three million, eight hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 149 160 240 298 447 480 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 4768 5960 7152 8940 11920 14304 17880 23840 35760 71520 293957 587914 881871 1175828 1469785 1763742 2351656 2939570 3527484 4409355 4703312 5879140 7054968 8818710 9406624 11758280 14109936 17637420 23516560 28219872 35274840 43799593 47033120 70549680 87599186 131398779 141099360 175198372 218997965 262797558 350396744 437995930 525595116 656993895 700793488 875991860 1051190232 1313987790 1401586976 1751983720 2102380464 2627975580 3503967440 4204760928 5255951160 7007934880 10511902320 21023804640