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76687720816 = 2476726937991
BaseRepresentation
bin100011101101011110…
…0011100000101110000
321022221111110212011011
41013122330130011300
52224024024031231
655121352000304
75353251604660
oct1073274340560
9238844425134
1076687720816
112a583245773
1212a42690094
137301b436c5
1439d6cc41a0
151edc7e29b1
hex11daf1c170

76687720816 has 80 divisors (see below), whose sum is σ = 172988213760. Its totient is φ = 32254421760.

The previous prime is 76687720757. The next prime is 76687720841. The reversal of 76687720816 is 61802778667.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1999581 + ... + 2037571.

It is an arithmetic number, because the mean of its divisors is an integer number (2162352672).

Almost surely, 276687720816 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 76687720816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86494106880).

76687720816 is an abundant number, since it is smaller than the sum of its proper divisors (96300492944).

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

76687720816 is a wasteful number, since it uses less digits than its factorization.

76687720816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38342 (or 38336 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 58.

The spelling of 76687720816 in words is "seventy-six billion, six hundred eighty-seven million, seven hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 269 469 536 538 938 1072 1076 1876 1883 2152 3752 3766 4304 7504 7532 15064 18023 30128 36046 37991 72092 75982 126161 144184 151964 252322 265937 288368 303928 504644 531874 607856 1009288 1063748 2018576 2127496 2545397 4254992 5090794 10181588 10219579 17817779 20363176 20439158 35635558 40726352 40878316 71271116 71537053 81756632 142542232 143074106 163513264 285084464 286148212 572296424 684711793 1144592848 1369423586 2738847172 4792982551 5477694344 9585965102 10955388688 19171930204 38343860408 76687720816