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168028755264 = 2633331293773
BaseRepresentation
bin1001110001111101001…
…0110101010101000000
3121001201012202011201000
42130133102311111000
510223110330132024
6205105155212000
715065623565646
oct2343722652500
9531635664630
10168028755264
1165295940897
12286945a7000
1312aca73a296
1481bdd45196
154586767cc9
hex271f4b5540

168028755264 has 112 divisors (see below), whose sum is σ = 495467477440. Its totient is φ = 55840181760.

The previous prime is 168028755247. The next prime is 168028755289. The reversal of 168028755264 is 462557820861.

168028755264 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 2 + 87 + 552 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 168028755264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425082 + ... + 718854.

Almost surely, 2168028755264 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 168028755264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247733738720).

168028755264 is an abundant number, since it is smaller than the sum of its proper divisors (327438722176).

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

168028755264 is a wasteful number, since it uses less digits than its factorization.

168028755264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294125 (or 294109 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 168028755264 in words is "one hundred sixty-eight billion, twenty-eight million, seven hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 331 432 576 662 864 993 1324 1728 1986 2648 2979 3972 5296 5958 7944 8937 10592 11916 15888 17874 21184 23832 31776 35748 47664 63552 71496 95328 142992 190656 285984 293773 571968 587546 881319 1175092 1762638 2350184 2643957 3525276 4700368 5287914 7050552 7931871 9400736 10575828 14101104 15863742 18801472 21151656 28202208 31727484 42303312 56404416 63454968 84606624 97238863 126909936 169213248 194477726 253819872 291716589 388955452 507639744 583433178 777910904 875149767 1166866356 1555821808 1750299534 2333732712 2625449301 3111643616 3500599068 4667465424 5250898602 6223287232 7001198136 9334930848 10501797204 14002396272 18669861696 21003594408 28004792544 42007188816 56009585088 84014377632 168028755264