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77685698144136 = 233295319111026117
BaseRepresentation
bin10001101010011110011100…
…011100010010011110001000
3101012001200100212121120221110
4101222132130130102132020
540140300302211103021
6433120152252010320
722235415006662055
oct2152363434223610
9335050325546843
1077685698144136
1122831357382075
1288680131609a0
133446964792954
14152801779202c
158eabb38e0476
hex46a79c712788

77685698144136 has 128 divisors (see below), whose sum is σ = 205773824563200. Its totient is φ = 24402117841920.

The previous prime is 77685698144111. The next prime is 77685698144143. The reversal of 77685698144136 is 63144189658677.

It is a super-4 number, since 4×776856981441364 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1532550 + ... + 12558666.

It is an arithmetic number, because the mean of its divisors is an integer number (1607608004400).

Almost surely, 277685698144136 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 77685698144136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102886912281600).

77685698144136 is an abundant number, since it is smaller than the sum of its proper divisors (128088126419064).

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

77685698144136 is a wasteful number, since it uses less digits than its factorization.

77685698144136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11026399 (or 11026395 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 75.

The spelling of 77685698144136 in words is "seventy-seven trillion, six hundred eighty-five billion, six hundred ninety-eight million, one hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 29 53 58 87 106 116 159 174 191 212 232 318 348 382 424 573 636 696 764 1146 1272 1528 1537 2292 3074 4584 4611 5539 6148 9222 10123 11078 12296 16617 18444 20246 22156 30369 33234 36888 40492 44312 60738 66468 80984 121476 132936 242952 293567 587134 880701 1174268 1761402 2348536 3522804 7045608 11026117 22052234 33078351 44104468 66156702 88208936 132313404 264626808 319757393 584384201 639514786 959272179 1168768402 1279029572 1753152603 1918544358 2105988347 2337536804 2558059144 3506305206 3837088716 4211976694 4675073608 6317965041 7012610412 7674177432 8423953388 12635930082 14025220824 16847906776 16947141829 25271860164 33894283658 50543720328 50841425487 61073662063 67788567316 101682850974 111617382391 122147324126 135577134632 183220986189 203365701948 223234764782 244294648252 334852147173 366441972378 406731403896 446469529564 488589296504 669704294346 732883944756 892939059128 1339408588692 1465767889512 2678817177384 3236904089339 6473808178678 9710712268017 12947616357356 19421424536034 25895232714712 38842849072068 77685698144136