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129753034002 = 23331241732069
BaseRepresentation
bin111100011010111100…
…0100010110100010010
3110101220201020001222000
41320311320202310102
54111213234042002
6135335133454430
712242254406604
oct1706570426422
9411821201860
10129753034002
11500342289a9
1221192041416
13c30a9850c7
1463cc77d174
15359632d61c
hex1e35e22d12

129753034002 has 64 divisors (see below), whose sum is σ = 297773798400. Its totient is φ = 41837195520.

The previous prime is 129753033983. The next prime is 129753034031. The reversal of 129753034002 is 200430357921.

129753034002 is a `hidden beast` number, since 1 + 2 + 97 + 530 + 34 + 0 + 0 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4030024 + ... + 4062092.

It is an arithmetic number, because the mean of its divisors is an integer number (4652715600).

Almost surely, 2129753034002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129753034002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148886899200).

129753034002 is an abundant number, since it is smaller than the sum of its proper divisors (168020764398).

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

129753034002 is a wasteful number, since it uses less digits than its factorization.

129753034002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34528 (or 34522 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 129753034002 in words is "one hundred twenty-nine billion, seven hundred fifty-three million, thirty-four thousand, two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 2417 4834 7251 14502 21753 32069 43506 64138 65259 74927 96207 130518 149854 192414 224781 288621 449562 577242 674343 865863 994139 1348686 1731726 1988278 2023029 2982417 4046058 5964834 8947251 17894502 26841753 53683506 77510773 155021546 232532319 465064638 697596957 1395193914 2092790871 2402833963 4185581742 4805667926 7208501889 14417003778 21625505667 43251011334 64876517001 129753034002