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78311785344 = 2731331506047
BaseRepresentation
bin100100011101110111…
…1110000001110000000
321111010200102212212020
41020323233300032000
52240340304112334
655550445201440
75441432122662
oct1107357601600
9244120385766
1078311785344
1130236a63461
1213216560280
137500453930
143b0c880532
152085196e49
hex123bbf0380

78311785344 has 128 divisors (see below), whose sum is σ = 231243694080. Its totient is φ = 23318599680.

The previous prime is 78311785333. The next prime is 78311785369. The reversal of 78311785344 is 44358711387.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×783117853442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 98272 + ... + 407775.

It is an arithmetic number, because the mean of its divisors is an integer number (1806591360).

Almost surely, 278311785344 is an apocalyptic number.

It is an amenable number.

78311785344 is an abundant number, since it is smaller than the sum of its proper divisors (152931908736).

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

78311785344 is a wasteful number, since it uses less digits than its factorization.

78311785344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506108 (or 506096 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The spelling of 78311785344 in words is "seventy-eight billion, three hundred eleven million, seven hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3968 4836 4992 5952 6448 9672 11904 12896 19344 25792 38688 51584 77376 154752 506047 1012094 1518141 2024188 3036282 4048376 6072564 6578611 8096752 12145128 13157222 15687457 16193504 19735833 24290256 26314444 31374914 32387008 39471666 47062371 48580512 52628888 62749828 64774016 78943332 94124742 97161024 105257776 125499656 157886664 188249484 194322048 203936941 210515552 250999312 315773328 376498968 407873882 421031104 501998624 611810823 631546656 752997936 815747764 842062208 1003997248 1223621646 1263093312 1505995872 1631495528 2007994496 2447243292 2526186624 3011991744 3262991056 4894486584 6023983488 6525982112 9788973168 13051964224 19577946336 26103928448 39155892672 78311785344