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76793000949 = 32723143130633
BaseRepresentation
bin100011110000100111…
…0000011001111110101
321100012211120122100100
41013201032003033311
52224233002012244
655140032304313
75356000511100
oct1074116031765
9240184518310
1076793000949
112a627713245
1212a719a2099
13731a8b5642
143a06c8b737
151ee6b8bb69
hex11e13833f5

76793000949 has 72 divisors (see below), whose sum is σ = 136294109952. Its totient is φ = 41478272640.

The previous prime is 76793000917. The next prime is 76793000951. The reversal of 76793000949 is 94900039767.

It is not a de Polignac number, because 76793000949 - 25 = 76793000917 is a prime.

It is a super-2 number, since 2×767930009492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76793000895 and 76793000904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76793000909) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 522537 + ... + 653169.

Almost surely, 276793000949 is an apocalyptic number.

It is an amenable number.

76793000949 is a deficient number, since it is larger than the sum of its proper divisors (59501109003).

76793000949 is a wasteful number, since it uses less digits than its factorization.

76793000949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130727 (or 130717 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 76793000949 in words is "seventy-six billion, seven hundred ninety-three million, nine hundred forty-nine", and thus it is an aban number.

Divisors: 1 3 7 9 21 31 43 49 63 93 129 147 217 279 301 387 441 651 903 1333 1519 1953 2107 2709 3999 4557 6321 9331 11997 13671 18963 27993 65317 83979 130633 195951 391899 587853 914431 1175697 2743293 4049623 5617219 6401017 8229879 12148869 16851657 19203051 28347361 36446607 39320533 50554971 57609153 85042083 117961599 174133789 198431527 255126249 275243731 353884797 522401367 595294581 825731193 1218936523 1567204101 1785883743 2477193579 3656809569 8532555661 10970428707 25597666983 76793000949