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768382795008 = 28321033237859
BaseRepresentation
bin10110010111001110010…
…11101111110100000000
32201110022220210022102100
423023213023233310000
5100042121443420013
61344553513550400
7106341145664553
oct13134713576400
92643286708370
10768382795008
11276962068714
12104b01a15400
13575c583665a
142929322869a
1514ec271b473
hexb2e72efd00

768382795008 has 108 divisors (see below), whose sum is σ = 2236946813920. Its totient is φ = 253640844288.

The previous prime is 768382794967. The next prime is 768382795009. The reversal of 768382795008 is 800597283867.

768382795008 is a `hidden beast` number, since 76 + 8 + 38 + 27 + 9 + 500 + 8 = 666.

It is a super-2 number, since 2×7683827950082 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768382795009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1381618 + ... + 1856241.

Almost surely, 2768382795008 is an apocalyptic number.

It is an amenable number.

768382795008 is an abundant number, since it is smaller than the sum of its proper divisors (1468564018912).

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

768382795008 is a wasteful number, since it uses less digits than its factorization.

768382795008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237984 (or 3237967 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 768382795008 in words is "seven hundred sixty-eight billion, three hundred eighty-two million, seven hundred ninety-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 256 288 309 384 412 576 618 768 824 927 1152 1236 1648 1854 2304 2472 3296 3708 4944 6592 7416 9888 13184 14832 19776 26368 29664 39552 59328 79104 118656 237312 3237859 6475718 9713577 12951436 19427154 25902872 29140731 38854308 51805744 58281462 77708616 103611488 116562924 155417232 207222976 233125848 310834464 333499477 414445952 466251696 621668928 666998954 828891904 932503392 1000498431 1243337856 1333997908 1865006784 2000996862 2486675712 2667995816 3001495293 3730013568 4001993724 5335991632 6002990586 7460027136 8003987448 10671983264 12005981172 16007974896 21343966528 24011962344 32015949792 42687933056 48023924688 64031899584 85375866112 96047849376 128063799168 192095698752 256127598336 384191397504 768382795008