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164976163445028 = 2231337138792059381
BaseRepresentation
bin100101100000101110000001…
…100111100101100100100100
3210122010120022111010201101210
4211200232001213211210210
5133110432140320220103
61342513000405351420
746515064060520565
oct4540560147454444
9718116274121353
10164976163445028
1148625aa8388231
121660559b408570
1371092545b7ba0
142ca4c6328016c
15141161e0dae03
hex960b819e5924

164976163445028 has 96 divisors (see below), whose sum is σ = 425790573295360. Its totient is φ = 49386370705920.

The previous prime is 164976163445003. The next prime is 164976163445057. The reversal of 164976163445028 is 820544361679461.

It is a self number, because there is not a number n which added to its sum of digits gives 164976163445028.

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, 79079898 + ... + 81139278.

It is a 1-persistent number, because it is pandigital, but 2⋅164976163445028 = 329952326890056 is not.

Almost surely, 2164976163445028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164976163445028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212895286647680).

164976163445028 is an abundant number, since it is smaller than the sum of its proper divisors (260814409850332).

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

164976163445028 is a wasteful number, since it uses less digits than its factorization.

164976163445028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073317 (or 2073315 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 164976163445028 in words is "one hundred sixty-four trillion, nine hundred seventy-six billion, one hundred sixty-three million, four hundred forty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 5772 13879 27758 41637 55516 83274 166548 180427 360854 513523 541281 721708 1027046 1082562 1540569 2054092 2059381 2165124 3081138 4118762 6162276 6178143 6675799 8237524 12356286 13351598 20027397 24712572 26703196 26771953 40054794 53543906 76197097 80109588 80315859 107087812 152394194 160631718 228591291 304788388 321263436 457182582 914365164 990562261 1981124522 2971686783 3962249044 5943373566 11886747132 28582148899 57164297798 85746446697 114328595596 171492893394 342985786788 371567935687 743135871374 1057539509263 1114703807061 1486271742748 2115079018526 2229407614122 3172618527789 4230158037052 4458815228244 6345237055578 12690474111156 13748013620419 27496027240838 41244040861257 54992054481676 82488081722514 164976163445028