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21697176088 = 2372139491811
BaseRepresentation
bin10100001101010000…
…001010001000011000
32002000010001202011101
4110031100022020120
5323413434113323
613544553441144
71365450645100
oct241520121030
962003052141
1021697176088
119224543595
1242564101b4
13207a1a5a43
14109b874200
1586ec62dad
hex50d40a218

21697176088 has 96 divisors (see below), whose sum is σ = 47820628800. Its totient is φ = 9201729600.

The previous prime is 21697176079. The next prime is 21697176133. The reversal of 21697176088 is 88067179612.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 26753203 + ... + 26754013.

It is an arithmetic number, because the mean of its divisors is an integer number (498131550).

Almost surely, 221697176088 is an apocalyptic number.

21697176088 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 21697176088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23910314400).

21697176088 is an abundant number, since it is smaller than the sum of its proper divisors (26123452712).

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

21697176088 is a wasteful number, since it uses less digits than its factorization.

21697176088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 55.

The spelling of 21697176088 in words is "twenty-one billion, six hundred ninety-seven million, one hundred seventy-six thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 139 196 278 392 491 556 811 973 982 1112 1622 1946 1964 3244 3437 3892 3928 5677 6488 6811 6874 7784 11354 13622 13748 22708 24059 27244 27496 39739 45416 48118 54488 68249 79478 96236 112729 136498 158956 192472 225458 272996 317912 398201 450916 477743 545992 789103 796402 901832 955486 1578206 1592804 1910972 2787407 3156412 3185608 3344201 3821944 5523721 5574814 6312824 6688402 11047442 11149628 13376804 19511849 22094884 22299256 26753608 39023698 44189768 55349939 78047396 110699878 156094792 221399756 387449573 442799512 774899146 1549798292 2712147011 3099596584 5424294022 10848588044 21697176088