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268377407631 = 32131678133569
BaseRepresentation
bin1111100111110010001…
…0100100000010001111
3221122201200102220002100
43321330202210002033
513344114104021011
6323142455130143
725250433216444
oct3717442440217
9848650386070
10268377407631
11a3900060643
124401b073953
131c4005506a8
14cdbd4019cb
156eab3c1d56
hex3e7c8a408f

268377407631 has 24 divisors (see below), whose sum is σ = 390684705840. Its totient is φ = 177521011200.

The previous prime is 268377407621. The next prime is 268377407677. The reversal of 268377407631 is 136704773862.

268377407631 is a `hidden beast` number, since 268 + 377 + 4 + 0 + 7 + 6 + 3 + 1 = 666.

268377407631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 268377407631 - 26 = 268377407567 is a prime.

It is a super-2 number, since 2×2683774076312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268377407621) by changing a digit.

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, 7978015 + ... + 8011583.

It is an arithmetic number, because the mean of its divisors is an integer number (16278529410).

Almost surely, 2268377407631 is an apocalyptic number.

268377407631 is a deficient number, since it is larger than the sum of its proper divisors (122307298209).

268377407631 is a wasteful number, since it uses less digits than its factorization.

268377407631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40487 (or 40484 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 268377407631 in words is "two hundred sixty-eight billion, three hundred seventy-seven million, four hundred seven thousand, six hundred thirty-one".

Divisors: 1 3 9 131 393 1179 6781 20343 33569 61029 100707 302121 888311 2664933 4397539 7994799 13192617 39577851 227631389 682894167 2048682501 29819711959 89459135877 268377407631