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93129084006 = 23718197712539
BaseRepresentation
bin101011010111011101…
…1010000110001100110
322220101022210122102120
41112232323100301212
53011212021142011
6110441035250410
76504553103310
oct1265673206146
9286338718376
1093129084006
113654aa38232
12160708a9a06
138a2219138a
1447167067b0
152650e1ca06
hex15aeed0c66

93129084006 has 64 divisors (see below), whose sum is σ = 214278704640. Its totient is φ = 26432110080.

The previous prime is 93129083989. The next prime is 93129084011. The reversal of 93129084006 is 60048092139.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

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, 7420885 + ... + 7433423.

It is an arithmetic number, because the mean of its divisors is an integer number (3348104760).

Almost surely, 293129084006 is an apocalyptic number.

93129084006 is an abundant number, since it is smaller than the sum of its proper divisors (121149620634).

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

93129084006 is a wasteful number, since it uses less digits than its factorization.

93129084006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13709.

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 93129084006 in words is "ninety-three billion, one hundred twenty-nine million, eighty-four thousand, six".

Divisors: 1 2 3 6 7 14 21 42 181 362 543 977 1086 1267 1954 2534 2931 3801 5862 6839 7602 12539 13678 20517 25078 37617 41034 75234 87773 175546 176837 263319 353674 526638 530511 1061022 1237859 2269559 2475718 3713577 4539118 6808677 7427154 12250603 13617354 15886913 24501206 31773826 36751809 47660739 73503618 85754221 95321478 171508442 257262663 514525326 2217359143 4434718286 6652077429 13304154858 15521514001 31043028002 46564542003 93129084006