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29812260920 = 23513313183167
BaseRepresentation
bin11011110000111100…
…110000000000111000
32211221200000202202212
4123300330300000320
5442023414322140
621410124114252
72103530015411
oct336074600070
984850022685
1029812260920
1111709275972
125940095988
132a715117a0
14162b538808
15b973e2765
hex6f0f30038

29812260920 has 64 divisors (see below), whose sum is σ = 72468587520. Its totient is φ = 10972376064.

The previous prime is 29812260893. The next prime is 29812260931. The reversal of 29812260920 is 2906221892.

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, 71177 + ... + 254343.

It is an arithmetic number, because the mean of its divisors is an integer number (1132321680).

Almost surely, 229812260920 is an apocalyptic number.

29812260920 is a gapful number since it is divisible by the number (20) 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 29812260920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36234293760).

29812260920 is an abundant number, since it is smaller than the sum of its proper divisors (42656326600).

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

29812260920 is a wasteful number, since it uses less digits than its factorization.

29812260920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183504 (or 183500 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 29812260920 in words is "twenty-nine billion, eight hundred twelve million, two hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 313 520 626 1252 1565 2504 3130 4069 6260 8138 12520 16276 20345 32552 40690 81380 162760 183167 366334 732668 915835 1465336 1831670 2381171 3663340 4762342 7326680 9524684 11905855 19049368 23811710 47623420 57331271 95246840 114662542 229325084 286656355 458650168 573312710 745306523 1146625420 1490613046 2293250840 2981226092 3726532615 5962452184 7453065230 14906130460 29812260920