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129360657072 = 24317227698371
BaseRepresentation
bin111100001111001111…
…1101111101010110000
3110100220100220021000010
41320132133233222300
54104412312011242
6135232155454520
712226451304543
oct1703637575260
9410810807003
10129360657072
114a95279a349
12210a2757440
13c2775b24ca
14639260085a
153571b7389c
hex1e1e7efab0

129360657072 has 80 divisors (see below), whose sum is σ = 355398717312. Its totient is φ = 40404894720.

The previous prime is 129360657067. The next prime is 129360657079. The reversal of 129360657072 is 270756063921.

It is a super-2 number, since 2×1293606570722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (129360657079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163954 + ... + 534417.

Almost surely, 2129360657072 is an apocalyptic number.

129360657072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129360657072 is an abundant number, since it is smaller than the sum of its proper divisors (226038060240).

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

129360657072 is a wasteful number, since it uses less digits than its factorization.

129360657072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698626 (or 698620 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 129360657072 in words is "one hundred twenty-nine billion, three hundred sixty million, six hundred fifty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 227 272 408 454 681 816 908 1362 1816 2724 3632 3859 5448 7718 10896 11577 15436 23154 30872 46308 61744 92616 185232 698371 1396742 2095113 2793484 4190226 5586968 8380452 11173936 11872307 16760904 23744614 33521808 35616921 47489228 71233842 94978456 142467684 158530217 189956912 284935368 317060434 475590651 569870736 634120868 951181302 1268241736 1902362604 2536483472 2695013689 3804725208 5390027378 7609450416 8085041067 10780054756 16170082134 21560109512 32340164268 43120219024 64680328536 129360657072