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268163751681 = 3472811683103
BaseRepresentation
bin1111100110111111001…
…1100001111100000001
3221122011210102001020000
43321233303201330001
513343144410023211
6323105343510213
725242230165010
oct3715763417401
9848153361200
10268163751681
11a38004a0781
1243b7b5b8369
131c3981c4757
14cd9cca6a77
156e9776b656
hex3e6fce1f01

268163751681 has 40 divisors (see below), whose sum is σ = 459446997504. Its totient is φ = 152691013440.

The previous prime is 268163751643. The next prime is 268163751703. The reversal of 268163751681 is 186157361862.

It is a happy number.

268163751681 is a `hidden beast` number, since 2 + 6 + 8 + 16 + 37 + 516 + 81 = 666.

It is not a de Polignac number, because 268163751681 - 27 = 268163751553 is a prime.

It is a super-2 number, since 2×2681637516812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268163751601) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 682225 + ... + 1000878.

Almost surely, 2268163751681 is an apocalyptic number.

268163751681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

268163751681 is a deficient number, since it is larger than the sum of its proper divisors (191283245823).

268163751681 is a wasteful number, since it uses less digits than its factorization.

268163751681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683403 (or 1683394 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 268163751681 in words is "two hundred sixty-eight billion, one hundred sixty-three million, seven hundred fifty-one thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 27 63 81 189 281 567 843 1967 2529 5901 7587 17703 22761 53109 159327 1683103 5049309 11781721 15147927 35345163 45443781 106035489 136331343 318106467 472951943 954319401 1418855829 3310663601 4256567487 9931990803 12769702461 29795972409 38309107383 89387917227 268163751681