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168305994756 = 22327397660241
BaseRepresentation
bin1001110010111111010…
…0011010110000000100
3121002102112102101210100
42130233310122300010
510224142313313011
6205152501324100
715105531231234
oct2345764326004
9532375371710
10168305994756
1165418389a39
1228751406630
1312b42cc9313
148208ab1cc4
1545a0c7cd56
hex272fd1ac04

168305994756 has 72 divisors (see below), whose sum is σ = 435714823544. Its totient is φ = 54762946560.

The previous prime is 168305994749. The next prime is 168305994817. The reversal of 168305994756 is 657499503861.

168305994756 is a `hidden beast` number, since 1 + 6 + 8 + 30 + 599 + 4 + 7 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12273094656 + 156032900100 = 110784^2 + 395010^2 .

It is a junction number, because it is equal to n+sod(n) for n = 168305994693 and 168305994702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75205 + ... + 585036.

Almost surely, 2168305994756 is an apocalyptic number.

It is an amenable number.

168305994756 is an abundant number, since it is smaller than the sum of its proper divisors (267408828788).

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

168305994756 is a wasteful number, since it uses less digits than its factorization.

168305994756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660421 (or 660416 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 168305994756 in words is "one hundred sixty-eight billion, three hundred five million, nine hundred ninety-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 97 146 194 219 291 292 388 438 582 657 873 876 1164 1314 1746 2628 3492 7081 14162 21243 28324 42486 63729 84972 127458 254916 660241 1320482 1980723 2640964 3961446 5942169 7922892 11884338 23768676 48197593 64043377 96395186 128086754 144592779 192130131 192790372 256173508 289185558 384260262 433778337 576390393 578371116 768520524 867556674 1152780786 1735113348 2305561572 4675166521 9350333042 14025499563 18700666084 28050999126 42076498689 56101998252 84152997378 168305994756