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768077375472 = 243211484897333
BaseRepresentation
bin10110010110101001111…
…10101010011111110000
32201102112122002101120200
423023110332222133300
5100041010302003342
61344503323435200
7106330446653601
oct13132476523760
92642478071520
10768077375472
11276815722480
12104a37685b00
135757748bb34
1429264843da8
1514ea59db94c
hexb2d4faa7f0

768077375472 has 60 divisors (see below), whose sum is σ = 2344963507224. Its totient is φ = 232750719360.

The previous prime is 768077375447. The next prime is 768077375473. The reversal of 768077375472 is 274573770867.

768077375472 is a `hidden beast` number, since 7 + 6 + 80 + 7 + 7 + 3 + 7 + 547 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768077375473) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 242447083 + ... + 242450250.

Almost surely, 2768077375472 is an apocalyptic number.

768077375472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

768077375472 is an abundant number, since it is smaller than the sum of its proper divisors (1576886131752).

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

768077375472 is a wasteful number, since it uses less digits than its factorization.

768077375472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484897358 (or 484897349 counting only the distinct ones).

The product of its (nonzero) digits is 96808320, while the sum is 63.

The spelling of 768077375472 in words is "seven hundred sixty-eight billion, seventy-seven million, three hundred seventy-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 484897333 969794666 1454691999 1939589332 2909383998 3879178664 4364075997 5333870663 5818767996 7758357328 8728151994 10667741326 11637535992 16001611989 17456303988 21335482652 23275071984 32003223978 34912607976 42670965304 48004835967 64006447956 69825215952 85341930608 96009671934 128012895912 192019343868 256025791824 384038687736 768077375472