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134426360172 = 2231319101344771
BaseRepresentation
bin111110100110001101…
…1110111100101101100
3110211222101220122021110
41331030123313211230
54200301122011142
6141430555232020
712466132131336
oct1751433674554
9424871818243
10134426360172
11520121a3035
1222077148610
13c8a3c36b70
1467132c6456
15376b75799c
hex1f4c6f796c

134426360172 has 96 divisors (see below), whose sum is σ = 355926654720. Its totient is φ = 39145455360.

The previous prime is 134426360171. The next prime is 134426360261. The reversal of 134426360172 is 271063624431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 134426360172.

It is not an unprimeable number, because it can be changed into a prime (134426360171) 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 31 ways as a sum of consecutive naturals, for example, 2980147 + ... + 3024917.

It is an arithmetic number, because the mean of its divisors is an integer number (3707569320).

Almost surely, 2134426360172 is an apocalyptic number.

134426360172 is a gapful number since it is divisible by the number (12) 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 134426360172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177963327360).

134426360172 is an abundant number, since it is smaller than the sum of its proper divisors (221500294548).

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

134426360172 is a wasteful number, since it uses less digits than its factorization.

134426360172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45823 (or 45821 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 134426360172 in words is "one hundred thirty-four billion, four hundred twenty-six million, three hundred sixty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1013 1482 2026 2964 3039 4052 6078 12156 13169 19247 26338 38494 39507 44771 52676 57741 76988 79014 89542 115482 134313 158028 179084 230964 250211 268626 500422 537252 582023 750633 850649 1000844 1164046 1501266 1701298 1746069 2328092 2551947 3002532 3402596 3492138 5103894 6984276 10207788 11058437 22116874 33175311 44233748 45353023 66350622 90706046 132701244 136059069 181412092 272118138 544236276 589589299 861707437 1179178598 1723414874 1768767897 2358357196 2585122311 3446829748 3537535794 5170244622 7075071588 10340489244 11202196681 22404393362 33606590043 44808786724 67213180086 134426360172