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268427566971 = 32292007151241
BaseRepresentation
bin1111100111111110000…
…1111001111101111011
3221122212011211020202200
43321333201321331323
513344214424120341
6323151450201243
725251612446544
oct3717741717573
9848764736680
10268427566971
11a3926400043
1244033a23223
131c40aa63485
14cdc5d3b4cb
156eb09cddb6
hex3e7f879f7b

268427566971 has 24 divisors (see below), whose sum is σ = 401126475360. Its totient is φ = 172768982400.

The previous prime is 268427566931. The next prime is 268427566993. The reversal of 268427566971 is 179665724862.

268427566971 is a `hidden beast` number, since 2 + 68 + 4 + 2 + 7 + 566 + 9 + 7 + 1 = 666.

It is not a de Polignac number, because 268427566971 - 210 = 268427565947 is a prime.

It is a super-2 number, since 2×2684275669712 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268427566899 and 268427566908.

It is not an unprimeable number, because it can be changed into a prime (268427566931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5212911 + ... + 5264151.

It is an arithmetic number, because the mean of its divisors is an integer number (16713603140).

Almost surely, 2268427566971 is an apocalyptic number.

268427566971 is a deficient number, since it is larger than the sum of its proper divisors (132698908389).

268427566971 is a wasteful number, since it uses less digits than its factorization.

268427566971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71347 (or 71344 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 268427566971 in words is "two hundred sixty-eight billion, four hundred twenty-seven million, five hundred sixty-six thousand, nine hundred seventy-one".

Divisors: 1 3 9 29 87 261 20071 51241 60213 153723 180639 461169 582059 1485989 1746177 4457967 5238531 13373901 1028458111 3085374333 9256122999 29825285219 89475855657 268427566971