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76475686014 = 232721319351041
BaseRepresentation
bin100011100111001001…
…1100101110001111110
321022101201111101002100
41013032103211301332
52223110233423024
655044335205530
75345065414500
oct1071623456176
9238351441070
1076475686014
112a4845928a2
12129a36768a6
137299c34620
1439b6a8bd70
151ec8dac7c9
hex11ce4e5c7e

76475686014 has 144 divisors (see below), whose sum is σ = 218502582480. Its totient is φ = 19107809280.

The previous prime is 76475686013. The next prime is 76475686043. The reversal of 76475686014 is 41068657467.

76475686014 is a `hidden beast` number, since 7 + 6 + 4 + 7 + 568 + 60 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76475686013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42334 + ... + 393374.

It is an arithmetic number, because the mean of its divisors is an integer number (1517379045).

Almost surely, 276475686014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76475686014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109251291240).

76475686014 is an abundant number, since it is smaller than the sum of its proper divisors (142026896466).

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

76475686014 is a wasteful number, since it uses less digits than its factorization.

76475686014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351095 (or 351085 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 76475686014 in words is "seventy-six billion, four hundred seventy-five million, six hundred eighty-six thousand, fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 49 57 63 78 91 98 114 117 126 133 147 171 182 234 247 266 273 294 342 399 441 494 546 637 741 798 819 882 931 1197 1274 1482 1638 1729 1862 1911 2223 2394 2793 3458 3822 4446 5187 5586 5733 8379 10374 11466 12103 15561 16758 24206 31122 36309 72618 108927 217854 351041 702082 1053123 2106246 2457287 3159369 4563533 4914574 6318738 6669779 7371861 9127066 13339558 13690599 14743722 17201009 20009337 22115583 27381198 31944731 34402018 40018674 41071797 44231166 46688453 51603027 60028011 63889462 82143594 86707127 93376906 95834193 103206054 120056022 140065359 154809081 173414254 191668386 223613117 260121381 280130718 287502579 309618162 326819171 420196077 447226234 520242762 575005158 606949889 653638342 670839351 780364143 840392154 980457513 1213899778 1341678702 1560728286 1820849667 1960915026 2012518053 2941372539 3641699334 4025036106 4248649223 5462549001 5882745078 8497298446 10925098002 12745947669 25491895338 38237843007 76475686014