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76504152707460 = 223252318479263939
BaseRepresentation
bin10001011001010010000010…
…110110001001000110000100
3101000212201120221102102122100
4101121102002312021012010
540011421001043114320
6430413304512432100
722054146136324452
oct2131220266110604
9330781527372570
1076504152707460
1122416257820605
1286b7025b48630
13338c4066422ca
1414c6b6c1bd9d2
158ca0ade4d790
hex459482d89184

76504152707460 has 72 divisors (see below), whose sum is σ = 242152274669760. Its totient is φ = 19514102718528.

The previous prime is 76504152707431. The next prime is 76504152707467. The reversal of 76504152707460 is 6470725140567.

76504152707460 is a `hidden beast` number, since 7 + 6 + 5 + 0 + 41 + 527 + 0 + 74 + 6 + 0 = 666.

76504152707460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 76504152707397 and 76504152707406.

It is not an unprimeable number, because it can be changed into a prime (76504152707467) 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 23 ways as a sum of consecutive naturals, for example, 9239627830 + ... + 9239636109.

It is an arithmetic number, because the mean of its divisors is an integer number (3363226037080).

Almost surely, 276504152707460 is an apocalyptic number.

It is an amenable number.

76504152707460 is an abundant number, since it is smaller than the sum of its proper divisors (165648121962300).

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

76504152707460 is a wasteful number, since it uses less digits than its factorization.

76504152707460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18479263977 (or 18479263972 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 76504152707460 in words is "seventy-six trillion, five hundred four billion, one hundred fifty-two million, seven hundred seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 18479263939 36958527878 55437791817 73917055756 92396319695 110875583634 166313375451 184792639390 221751167268 277188959085 332626750902 369585278780 425023070597 554377918170 665253501804 831566877255 850046141194 1108755836340 1275069211791 1663133754510 1700092282388 2125115352985 2550138423582 3326267509020 3825207635373 4250230705970 5100276847164 6375346058955 7650415270746 8500461411940 12750692117910 15300830541492 19126038176865 25501384235820 38252076353730 76504152707460