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77005666314 = 23219509442363
BaseRepresentation
bin100011110110111100…
…1010011100000001010
321100202122202011101100
41013231321103200022
52230201422310224
655213110402230
75364162235533
oct1075571234012
9240678664340
1077005666314
112a726766945
1212b11060376
137352985735
143a2720968a
15200a698ac9
hex11ede5380a

77005666314 has 48 divisors (see below), whose sum is σ = 175972399200. Its totient is φ = 24269748768.

The previous prime is 77005666271. The next prime is 77005666321. The reversal of 77005666314 is 41366650077.

It is a super-2 number, since 2×770056663142 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77005666314.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47104 + ... + 395259.

It is an arithmetic number, because the mean of its divisors is an integer number (3666091650).

Almost surely, 277005666314 is an apocalyptic number.

77005666314 is an abundant number, since it is smaller than the sum of its proper divisors (98966732886).

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

77005666314 is a wasteful number, since it uses less digits than its factorization.

77005666314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442899 (or 442896 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 77005666314 in words is "seventy-seven billion, five million, six hundred sixty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 509 1018 1527 3054 4581 9162 9671 19342 29013 58026 87039 174078 442363 884726 1327089 2654178 3981267 7962534 8404897 16809794 25214691 50429382 75644073 151288146 225162767 450325534 675488301 1350976602 2026464903 4052929806 4278092573 8556185146 12834277719 25668555438 38502833157 77005666314