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268815974157 = 3346721319373
BaseRepresentation
bin1111101001011010101…
…1100011111100001101
3221200212020200101021000
43322112223203330031
513401013342133112
6323254203130513
725264340036163
oct3722653437415
9850766611230
10268815974157
11a4005678115
1244121b13a39
131c470376203
14d021765233
156ed4b527dc
hex3e96ae3f0d

268815974157 has 16 divisors (see below), whose sum is σ = 399098681280. Its totient is φ = 178826892336.

The previous prime is 268815974153. The next prime is 268815974197. The reversal of 268815974157 is 751479518862.

268815974157 is a `hidden beast` number, since 2 + 68 + 8 + 159 + 7 + 415 + 7 = 666.

It is not a de Polignac number, because 268815974157 - 22 = 268815974153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 268815974094 and 268815974103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268815974153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10647078 + ... + 10672295.

It is an arithmetic number, because the mean of its divisors is an integer number (24943667580).

Almost surely, 2268815974157 is an apocalyptic number.

268815974157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

268815974157 is a deficient number, since it is larger than the sum of its proper divisors (130282707123).

268815974157 is a wasteful number, since it uses less digits than its factorization.

268815974157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21319849 (or 21319843 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 63.

The spelling of 268815974157 in words is "two hundred sixty-eight billion, eight hundred fifteen million, nine hundred seventy-four thousand, one hundred fifty-seven".

Divisors: 1 3 9 27 467 1401 4203 12609 21319373 63958119 191874357 575623071 9956147191 29868441573 89605324719 268815974157