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768745693768 = 2313192316914841
BaseRepresentation
bin10110010111111001101…
…00000110001001001000
32201111021012122110221011
423023330310012021020
5100043342344200033
61345053520053304
7106353143403463
oct13137464061110
92644235573834
10768745693768
112770289a2948
12104ba3464234
1357652a87950
14292c94d22da
1514ee4501ccd
hexb2fcd06248

768745693768 has 64 divisors (see below), whose sum is σ = 1705016073600. Its totient is φ = 321517278720.

The previous prime is 768745693763. The next prime is 768745693769. The reversal of 768745693768 is 867396547867.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a junction number, because it is equal to n+sod(n) for n = 768745693694 and 768745693703.

It is not an unprimeable number, because it can be changed into a prime (768745693763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8411973 + ... + 8502868.

It is an arithmetic number, because the mean of its divisors is an integer number (26640876150).

Almost surely, 2768745693768 is an apocalyptic number.

It is an amenable number.

768745693768 is an abundant number, since it is smaller than the sum of its proper divisors (936270379832).

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

768745693768 is a wasteful number, since it uses less digits than its factorization.

768745693768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16914902 (or 16914898 counting only the distinct ones).

The product of its digits is 2560481280, while the sum is 76.

The spelling of 768745693768 in words is "seven hundred sixty-eight billion, seven hundred forty-five million, six hundred ninety-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 76 92 104 152 184 247 299 437 494 598 874 988 1196 1748 1976 2392 3496 5681 11362 22724 45448 16914841 33829682 67659364 135318728 219892933 321381979 389041343 439785866 642763958 778082686 879571732 1285527916 1556165372 1759143464 2571055832 3112330744 4177965727 5057537459 7391785517 8355931454 10115074918 14783571034 16711862908 20230149836 29567142068 33423725816 40460299672 59134284136 96093211721 192186423442 384372846884 768745693768