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21681803424 = 2531619139501
BaseRepresentation
bin10100001100010101…
…100001000010100000
32001222001010201211110
4110030111201002200
5323401020202144
613543244143320
71365203200611
oct241425410240
961861121743
1021681803424
1192168a3906
124251237b40
132076c528a8
1410997d1c08
1586d7280b9
hex50c5610a0

21681803424 has 48 divisors (see below), whose sum is σ = 56950296480. Its totient is φ = 7222752000.

The previous prime is 21681803411. The next prime is 21681803497. The reversal of 21681803424 is 42430818612.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 85674 + ... + 225174.

It is an arithmetic number, because the mean of its divisors is an integer number (1186464510).

Almost surely, 221681803424 is an apocalyptic number.

21681803424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21681803424 is an abundant number, since it is smaller than the sum of its proper divisors (35268493056).

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

21681803424 is a wasteful number, since it uses less digits than its factorization.

21681803424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141133 (or 141125 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 21681803424 in words is "twenty-one billion, six hundred eighty-one million, eight hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1619 3238 4857 6476 9714 12952 19428 25904 38856 51808 77712 139501 155424 279002 418503 558004 837006 1116008 1674012 2232016 3348024 4464032 6696048 13392096 225852119 451704238 677556357 903408476 1355112714 1806816952 2710225428 3613633904 5420450856 7227267808 10840901712 21681803424