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268195551376 = 241294692
BaseRepresentation
bin1111100111000110110…
…0110101100010010000
3221122021000020122012111
43321301230311202100
513343231030121001
6323112441235104
725243064400334
oct3716154654220
9848230218174
10268195551376
11a3817440315
1243b8a192a94
131c3a197993c
14cda31c37c4
156e9a44d851
hex3e71b35890

268195551376 has 15 divisors (see below), whose sum is σ = 519632894361. Its totient is φ = 134096739936.

The previous prime is 268195551373. The next prime is 268195551391. The reversal of 268195551376 is 673155591862.

It is a happy number.

The square root of 268195551376 is 517876.

It is a perfect power (a square), and thus also a powerful number.

268195551376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 24001445776 + 244194105600 = 154924^2 + 494160^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 268195551376.

It is not an unprimeable number, because it can be changed into a prime (268195551373) 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 2 ways as a sum of consecutive naturals, for example, 2006770 + ... + 2136238.

Almost surely, 2268195551376 is an apocalyptic number.

268195551376 is the 517876-th square number.

It is an amenable number.

268195551376 is a deficient number, since it is larger than the sum of its proper divisors (251437342985).

268195551376 is an frugal number, since it uses more digits than its factorization.

268195551376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258946 (or 129471 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 58.

The spelling of 268195551376 in words is "two hundred sixty-eight billion, one hundred ninety-five million, five hundred fifty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 129469 258938 517876 1035752 2071504 16762221961 33524443922 67048887844 134097775688 268195551376