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76300885856 = 2513412109111
BaseRepresentation
bin100011100001111100…
…0110001111101100000
321021221112120121100102
41013003320301331200
52222231011321411
655015132441532
75340543554156
oct1070370617540
9237845517312
1076300885856
112a3a4951958
12129550192a8
13726c961490
14399b7893d6
151eb887ed3b
hex11c3e31f60

76300885856 has 72 divisors (see below), whose sum is σ = 165815978832. Its totient is φ = 34356556800.

The previous prime is 76300885849. The next prime is 76300885873. The reversal of 76300885856 is 65858800367.

It is a super-3 number, since 3×763008858563 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 644741 + ... + 753851.

It is an arithmetic number, because the mean of its divisors is an integer number (2302999706).

Almost surely, 276300885856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76300885856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82907989416).

76300885856 is an abundant number, since it is smaller than the sum of its proper divisors (89515092976).

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

76300885856 is a wasteful number, since it uses less digits than its factorization.

76300885856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109216 (or 109167 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 76300885856 in words is "seventy-six billion, three hundred million, eight hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 1681 2132 3362 4264 6724 8528 13448 17056 21853 26896 43706 53792 87412 109111 174824 218222 349648 436444 699296 872888 1418443 1745776 2836886 3491552 4473551 5673772 8947102 11347544 17894204 22695088 35788408 45390176 58156163 71576816 116312326 143153632 183415591 232624652 366831182 465249304 733662364 930498608 1467324728 1860997216 2384402683 2934649456 4768805366 5869298912 9537610732 19075221464 38150442928 76300885856