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768131887560 = 233517376535239
BaseRepresentation
bin10110010110110000011…
…10100111000111001000
32201102200102122220002220
423023120032213013020
5100041113230400220
61344512552054040
7106332011213142
oct13133016470710
92642612586086
10768131887560
11276843475194
12104a51994320
1357585866bcb
142926bb93c92
1514eaa6a8540
hexb2d83a71c8

768131887560 has 64 divisors (see below), whose sum is σ = 2439948355200. Its totient is φ = 192786041856.

The previous prime is 768131887553. The next prime is 768131887571. The reversal of 768131887560 is 65788131867.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 768131887494 and 768131887503.

It is an unprimeable number.

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, 188265580 + ... + 188269659.

It is an arithmetic number, because the mean of its divisors is an integer number (38124193050).

Almost surely, 2768131887560 is an apocalyptic number.

It is an amenable number.

768131887560 is an abundant number, since it is smaller than the sum of its proper divisors (1671816467640).

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

768131887560 is a wasteful number, since it uses less digits than its factorization.

768131887560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376535270 (or 376535266 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 768131887560 in words is "seven hundred sixty-eight billion, one hundred thirty-one million, eight hundred eighty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 376535239 753070478 1129605717 1506140956 1882676195 2259211434 3012281912 3765352390 4518422868 5648028585 6401099063 7530704780 9036845736 11296057170 12802198126 15061409560 19203297189 22592114340 25604396252 32005495315 38406594378 45184228680 51208792504 64010990630 76813188756 96016485945 128021981260 153626377512 192032971890 256043962520 384065943780 768131887560