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268918993475 = 52112074347143
BaseRepresentation
bin1111101001110011010…
…0100011001001000011
3221201010102112022012022
43322130310203021003
513401221230242400
6323312323152055
725300030505066
oct3723464431103
9851112468168
10268918993475
11a4058841050
124415051562b
131c4888060a2
14d0313008dd
156eddc01b85
hex3e9cd23243

268918993475 has 24 divisors (see below), whose sum is σ = 363799310592. Its totient is φ = 195563872800.

The previous prime is 268918993463. The next prime is 268918993493. The reversal of 268918993475 is 574399819862.

268918993475 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 5185742-1.

It is not a de Polignac number, because 268918993475 - 220 = 268917944899 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268918993399 and 268918993408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5680754 + ... + 5727896.

It is an arithmetic number, because the mean of its divisors is an integer number (15158304608).

Almost surely, 2268918993475 is an apocalyptic number.

268918993475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268918993475 is a deficient number, since it is larger than the sum of its proper divisors (94880317117).

268918993475 is a wasteful number, since it uses less digits than its factorization.

268918993475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67907 (or 67902 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 71.

The spelling of 268918993475 in words is "two hundred sixty-eight billion, nine hundred eighteen million, nine hundred ninety-three thousand, four hundred seventy-five".

Divisors: 1 5 11 25 55 275 20743 47143 103715 228173 235715 518573 518575 1140865 1178575 2592865 5704325 12964325 977887249 4889436245 10756759739 24447181225 53783798695 268918993475