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129929616 = 2433673
BaseRepresentation
bin1111011111010…
…01000110010000
3100001111002221000
413233221012100
5231230221431
620520502000
73135245355
oct757510620
9301432830
10129929616
1167384053
123761a900
1320bc273b
141338262c
15b6179e6
hex7be9190

129929616 has 80 divisors (see below), whose sum is σ = 378596800. Its totient is φ = 42663456.

The previous prime is 129929603. The next prime is 129929621. The reversal of 129929616 is 616929921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

129929616 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 29 + 616 = 666.

It is a super-2 number, since 2×1299296162 = 33763410227814912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (104976) is a multiple of the sum of its prime divisors (72).

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, 1939215 + ... + 1939281.

It is an arithmetic number, because the mean of its divisors is an integer number (4732460).

Almost surely, 2129929616 is an apocalyptic number.

129929616 is a gapful number since it is divisible by the number (16) 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 129929616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189298400).

129929616 is an abundant number, since it is smaller than the sum of its proper divisors (248667184).

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

129929616 is an frugal number, since it uses more digits than its factorization.

129929616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 72 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 129929616 is about 11398.6672905213. The cubic root of 129929616 is about 506.4882620577.

The spelling of 129929616 in words is "one hundred twenty-nine million, nine hundred twenty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 4489 4824 7236 8978 9648 13467 14472 17956 26934 28944 35912 40401 53868 71824 80802 107736 121203 161604 215472 242406 300763 323208 484812 601526 646416 902289 969624 1203052 1804578 1939248 2406104 2706867 3609156 4812208 5413734 7218312 8120601 10827468 14436624 16241202 21654936 32482404 43309872 64964808 129929616