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129913218 = 23217457929
BaseRepresentation
bin1111011111001…
…01000110000010
3100001110021102200
413233211012002
5231224210333
620520254030
73135146511
oct757450602
9301407380
10129913218
11673727a6
1237611316
1320bb8136
141337a678
15b612c13
hex7be5182

129913218 has 48 divisors (see below), whose sum is σ = 299009880. Its totient is φ = 40624128.

The previous prime is 129913213. The next prime is 129913247. The reversal of 129913218 is 812319921.

It can be written as a sum of positive squares in 4 ways, for example, as 113486409 + 16426809 = 10653^2 + 4053^2 .

It is a super-2 number, since 2×1299132182 = 33754888422231048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129913213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139378 + ... + 140306.

Almost surely, 2129913218 is an apocalyptic number.

129913218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129913218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149504940).

129913218 is an abundant number, since it is smaller than the sum of its proper divisors (169096662).

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

129913218 is a wasteful number, since it uses less digits than its factorization.

129913218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1408 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 129913218 is about 11397.9479732099. The cubic root of 129913218 is about 506.4669537417.

The spelling of 129913218 in words is "one hundred twenty-nine million, nine hundred thirteen thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 457 914 929 1371 1858 2742 2787 4113 5574 7769 8226 8361 15538 15793 16722 23307 31586 46614 47379 69921 94758 139842 142137 284274 424553 849106 1273659 2547318 3820977 7217401 7641954 14434802 21652203 43304406 64956609 129913218