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29621316088 = 23713435691663
BaseRepresentation
bin11011100101100100…
…010110100111111000
32211110100201202201001
4123211210112213320
5441131024103323
621335143334344
72066021014060
oct334544264770
984410652631
1029621316088
1111620508221
1258a81513b4
132a40aa7c90
1416100323a0
15b857763ad
hex6e59169f8

29621316088 has 128 divisors (see below), whose sum is σ = 70111641600. Its totient is φ = 11418817536.

The previous prime is 29621316083. The next prime is 29621316089. The reversal of 29621316088 is 88061312692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29621316083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17811145 + ... + 17812807.

It is an arithmetic number, because the mean of its divisors is an integer number (547747200).

Almost surely, 229621316088 is an apocalyptic number.

29621316088 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 29621316088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35055820800).

29621316088 is an abundant number, since it is smaller than the sum of its proper divisors (40490325512).

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

29621316088 is a wasteful number, since it uses less digits than its factorization.

29621316088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 29621316088 in words is "twenty-nine billion, six hundred twenty-one million, three hundred sixteen thousand, eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 43 52 56 86 91 104 172 182 301 344 364 559 569 602 728 1118 1138 1204 1663 2236 2276 2408 3326 3913 3983 4472 4552 6652 7397 7826 7966 11641 13304 14794 15652 15932 21619 23282 24467 29588 31304 31864 43238 46564 48934 51779 59176 71509 86476 93128 97868 103558 143018 151333 171269 172952 195736 207116 286036 302666 318071 342538 414232 500563 572072 605332 636142 685076 929617 946247 1001126 1210664 1272284 1370152 1859234 1892494 2002252 2226497 2544568 3718468 3784988 4004504 4452994 6507319 6623729 7436936 7569976 8905988 12301211 13014638 13247458 17811976 24602422 26029276 26494916 40688621 49204844 52058552 52989832 81377242 86108477 98409688 162754484 172216954 284820347 325508968 344433908 528952073 569640694 688867816 1057904146 1139281388 2115808292 2278562776 3702664511 4231616584 7405329022 14810658044 29621316088