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21169038688 = 257127757983
BaseRepresentation
bin10011101101110001…
…011110010101100000
32000122022021120211221
4103231301132111200
5321323233214223
613420325544424
71346405600650
oct235561362540
960568246757
1021169038688
118a834090a6
124129575114
131cc494b6c5
14104b676360
1583d6dcb5d
hex4edc5e560

21169038688 has 96 divisors (see below), whose sum is σ = 48117694464. Its totient is φ = 8979973632.

The previous prime is 21169038661. The next prime is 21169038739. The reversal of 21169038688 is 88683096112.

It is a super-2 number, since 2×211690386882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21534645 + ... + 21535627.

It is an arithmetic number, because the mean of its divisors is an integer number (501225984).

Almost surely, 221169038688 is an apocalyptic number.

21169038688 is a gapful number since it is divisible by the number (28) 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 21169038688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058847232).

21169038688 is an abundant number, since it is smaller than the sum of its proper divisors (26948655776).

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

21169038688 is a wasteful number, since it uses less digits than its factorization.

21169038688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 21169038688 in words is "twenty-one billion, one hundred sixty-nine million, thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 508 757 889 983 1016 1514 1778 1966 2032 3028 3556 3932 4064 5299 6056 6881 7112 7864 10598 12112 13762 14224 15728 21196 24224 27524 28448 31456 42392 55048 84784 96139 110096 124841 169568 192278 220192 249682 384556 499364 672973 744131 769112 873887 998728 1345946 1488262 1538224 1747774 1997456 2691892 2976524 3076448 3495548 3994912 5208917 5383784 5953048 6991096 10417834 10767568 11906096 13982192 20835668 21535136 23812192 27964384 41671336 83342672 94504637 166685344 189009274 378018548 661532459 756037096 1323064918 1512074192 2646129836 3024148384 5292259672 10584519344 21169038688