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168914950272 = 2732941155821
BaseRepresentation
bin1001110101010000011…
…1011001100010000000
3121010222222021112201100
42131110013121202000
510231414211402042
6205333133334400
715126604246605
oct2352407314200
9533888245640
10168914950272
11657000a4262
12288a1337400
1312c0c20c223
14826590a6ac
1545d946924c
hex27541d9880

168914950272 has 96 divisors (see below), whose sum is σ = 486590034060. Its totient is φ = 56244787200.

The previous prime is 168914950223. The next prime is 168914950273. The reversal of 168914950272 is 272059419861.

It is a happy number.

168914950272 is a `hidden beast` number, since 1 + 6 + 8 + 91 + 49 + 502 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154335836736 + 14579113536 = 392856^2 + 120744^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (168914950273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1006122 + ... + 1161942.

Almost surely, 2168914950272 is an apocalyptic number.

168914950272 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 168914950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243295017030).

168914950272 is an abundant number, since it is smaller than the sum of its proper divisors (317675083788).

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

168914950272 is a wasteful number, since it uses less digits than its factorization.

168914950272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156782 (or 156767 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 168914950272 in words is "one hundred sixty-eight billion, nine hundred fourteen million, nine hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 941 1152 1882 2823 3764 5646 7528 8469 11292 15056 16938 22584 30112 33876 45168 60224 67752 90336 120448 135504 155821 180672 271008 311642 361344 467463 542016 623284 934926 1084032 1246568 1402389 1869852 2493136 2804778 3739704 4986272 5609556 7479408 9972544 11219112 14958816 19945088 22438224 29917632 44876448 59835264 89752896 146627561 179505792 293255122 439882683 586510244 879765366 1173020488 1319648049 1759530732 2346040976 2639296098 3519061464 4692081952 5278592196 7038122928 9384163904 10557184392 14076245856 18768327808 21114368784 28152491712 42228737568 56304983424 84457475136 168914950272