Search a number
-
+
268264380114 = 23329171305479
BaseRepresentation
bin1111100111010111001…
…1011001011011010010
3221122102210202111111000
43321311303121123102
513343401140130424
6323123340402430
725244561415243
oct3716563313322
9848383674430
10268264380114
11a3852281375
1243ba9246416
131c3b2cc82c3
14cdac3bccca
156ea14e73c9
hex3e75cd96d2

268264380114 has 32 divisors (see below), whose sum is σ = 616699728000. Its totient is φ = 86337960912.

The previous prime is 268264380047. The next prime is 268264380133. The reversal of 268264380114 is 411083462862.

268264380114 is a `hidden beast` number, since 2 + 6 + 8 + 264 + 380 + 1 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 268264380114.

It is an unprimeable number.

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, 85651174 + ... + 85654305.

It is an arithmetic number, because the mean of its divisors is an integer number (19271866500).

Almost surely, 2268264380114 is an apocalyptic number.

268264380114 is an abundant number, since it is smaller than the sum of its proper divisors (348435347886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268264380114 is a wasteful number, since it uses less digits than its factorization.

268264380114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171305519 (or 171305513 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 268264380114 in words is "two hundred sixty-eight billion, two hundred sixty-four million, three hundred eighty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 171305479 342610958 513916437 1027832874 1541749311 3083498622 4625247933 4967858891 9250495866 9935717782 14903576673 29807153346 44710730019 89421460038 134132190057 268264380114