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768440044867 = 11671579660329
BaseRepresentation
bin10110010111010101001…
…10001000110101000011
32201110110220111220110111
423023222212020311003
5100042231122413432
61345003321012151
7106342442416015
oct13135246106503
92643426456414
10768440044867
11276991410350
12104b19024057
135760465c901
142929aa8c1b5
1514ec7779347
hexb2ea988d43

768440044867 has 16 divisors (see below), whose sum is σ = 851350262400. Its totient is φ = 687718405440.

The previous prime is 768440044829. The next prime is 768440044909.

It is a happy number.

768440044867 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-768440044867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (768440044067) 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 15 ways as a sum of consecutive naturals, for example, 833559 + ... + 1493887.

It is an arithmetic number, because the mean of its divisors is an integer number (53209391400).

Almost surely, 2768440044867 is an apocalyptic number.

768440044867 is a deficient number, since it is larger than the sum of its proper divisors (82910217533).

768440044867 is a wasteful number, since it uses less digits than its factorization.

768440044867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661986.

The product of its (nonzero) digits is 28901376, while the sum is 58.

The spelling of 768440044867 in words is "seven hundred sixty-eight billion, four hundred forty million, forty-four thousand, eight hundred sixty-seven".

Divisors: 1 11 67 737 1579 17369 105793 660329 1163723 7263619 44242043 486662473 1042659491 11469254401 69858185897 768440044867