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768531135870 = 232537382327817
BaseRepresentation
bin10110010111100000000…
…01100111110101111110
32201110201020220210211100
423023300001213311332
5100042422432321440
61345020333233530
7106344626604321
oct13136001476576
92643636823740
10768531135870
11276a28877373
12104b436328a6
135761a4a4304
14292a8c007b8
1514ed076e230
hexb2f0067d7e

768531135870 has 96 divisors (see below), whose sum is σ = 2006044552512. Its totient is φ = 204136505856.

The previous prime is 768531135863. The next prime is 768531135871. The reversal of 768531135870 is 78531135867.

768531135870 is a `hidden beast` number, since 7 + 6 + 8 + 53 + 1 + 1 + 3 + 587 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768531135871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27614202 + ... + 27642018.

It is an arithmetic number, because the mean of its divisors is an integer number (20896297422).

Almost surely, 2768531135870 is an apocalyptic number.

768531135870 is an abundant number, since it is smaller than the sum of its proper divisors (1237513416642).

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

768531135870 is a wasteful number, since it uses less digits than its factorization.

768531135870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29026 (or 29023 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

It can be divided in two parts, 768531 and 135870, that added together give a square (904401 = 9512).

The spelling of 768531135870 in words is "seven hundred sixty-eight billion, five hundred thirty-one million, one hundred thirty-five thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 373 746 823 1119 1646 1865 2238 2469 3357 3730 4115 4938 5595 6714 7407 8230 11190 12345 14814 16785 24690 27817 33570 37035 55634 74070 83451 139085 166902 250353 278170 306979 417255 500706 613958 834510 920937 1251765 1534895 1841874 2503530 2762811 3069790 4604685 5525622 9209370 10375741 13814055 20751482 22893391 27628110 31127223 45786782 51878705 62254446 68680173 93381669 103757410 114466955 137360346 155636115 186763338 206040519 228933910 311272230 343400865 412081038 466908345 686801730 933816690 1030202595 2060405190 8539234843 17078469686 25617704529 42696174215 51235409058 76853113587 85392348430 128088522645 153706227174 256177045290 384265567935 768531135870