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768825231245 = 519107131577363
BaseRepresentation
bin10110011000000011000…
…11100000011110001101
32201111110202022101211122
423030001203200132031
5100044023224344440
61345105440530325
7106355130432251
oct13140143403615
92644422271748
10768825231245
112770698885a5
121050060209a5
13576663b5646
14292d5cb8261
1514eeb4b37b5
hexb3018e078d

768825231245 has 32 divisors (see below), whose sum is σ = 987708142080. Its totient is φ = 572835481920.

The previous prime is 768825231233. The next prime is 768825231247. The reversal of 768825231245 is 542132528867.

It is a happy number.

It is not a de Polignac number, because 768825231245 - 210 = 768825230221 is a prime.

It is a super-3 number, since 3×7688252312453 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768825231247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042934 + ... + 1620296.

It is an arithmetic number, because the mean of its divisors is an integer number (30865879440).

Almost surely, 2768825231245 is an apocalyptic number.

It is an amenable number.

768825231245 is a deficient number, since it is larger than the sum of its proper divisors (218882910835).

768825231245 is a wasteful number, since it uses less digits than its factorization.

768825231245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577625.

The product of its digits is 6451200, while the sum is 53.

The spelling of 768825231245 in words is "seven hundred sixty-eight billion, eight hundred twenty-five million, two hundred thirty-one thousand, two hundred forty-five".

Divisors: 1 5 19 95 107 131 535 655 2033 2489 10165 12445 14017 70085 266323 577363 1331615 2886815 10969897 54849485 61777841 75634553 308889205 378172765 1173778979 1437056507 5868894895 7185282535 8092897171 40464485855 153765046249 768825231245