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268168310960 = 24511304736717
BaseRepresentation
bin1111100111000000010…
…0111011000010110000
3221122012002222200101012
43321300010323002300
513343202041422320
6323110025330052
725242314014244
oct3716004730260
9848162880335
10268168310960
11a3803025180
1243b81036928
131c39912ca54
14cd9d732424
156e97d6c4c5
hex3e7013b0b0

268168310960 has 40 divisors (see below), whose sum is σ = 680172354576. Its totient is φ = 97515749120.

The previous prime is 268168310957. The next prime is 268168310983. The reversal of 268168310960 is 69013861862.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2681683109602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268168310899 and 268168310908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152367479 + ... + 152369238.

Almost surely, 2268168310960 is an apocalyptic number.

268168310960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268168310960 is an abundant number, since it is smaller than the sum of its proper divisors (412004043616).

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

268168310960 is a wasteful number, since it uses less digits than its factorization.

268168310960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304736741 (or 304736735 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 268168310960 in words is "two hundred sixty-eight billion, one hundred sixty-eight million, three hundred ten thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 304736717 609473434 1218946868 1523683585 2437893736 3047367170 3352103887 4875787472 6094734340 6704207774 12189468680 13408415548 16760519435 24378937360 26816831096 33521038870 53633662192 67042077740 134084155480 268168310960