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268680664377 = 3266734473761
BaseRepresentation
bin1111101000111010011…
…1011001010100111001
3221200111211001221010200
43322032213121110321
513400224222230002
6323232531032413
725261104652056
oct3721647312471
9850454057120
10268680664377
11a3a46259954
12440a473b709
131c44b31b958
14d00b7c202d
156ec7d25b1c
hex3e8e9d9539

268680664377 has 12 divisors (see below), whose sum is σ = 388152538644. Its totient is φ = 179093560320.

The previous prime is 268680664361. The next prime is 268680664487. The reversal of 268680664377 is 773466086862.

268680664377 is a `hidden beast` number, since 2 + 68 + 6 + 80 + 66 + 437 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17700705936 + 250979958441 = 133044^2 + 500979^2 .

It is not a de Polignac number, because 268680664377 - 24 = 268680664361 is a prime.

It is a super-3 number, since 3×2686806643773 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (268680664277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2176824 + ... + 2296937.

It is an arithmetic number, because the mean of its divisors is an integer number (32346044887).

Almost surely, 2268680664377 is an apocalyptic number.

It is an amenable number.

268680664377 is a deficient number, since it is larger than the sum of its proper divisors (119471874267).

268680664377 is a wasteful number, since it uses less digits than its factorization.

268680664377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480440 (or 4480437 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 268680664377 in words is "two hundred sixty-eight billion, six hundred eighty million, six hundred sixty-four thousand, three hundred seventy-seven".

Divisors: 1 3 9 6673 20019 60057 4473761 13421283 40263849 29853407153 89560221459 268680664377