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34218648612 = 223538039257
BaseRepresentation
bin11111110111100101…
…110010010000100100
310021022202102110100000
4133313211302100210
51030034433223422
623415252221300
72320653466641
oct376745622044
9107282373300
1034218648612
111356a598195
12676b90a830
1332c43a0095
141928836dc8
15d5418dcac
hex7f7972424

34218648612 has 72 divisors (see below), whose sum is σ = 89734016736. Its totient is φ = 11401985088.

The previous prime is 34218648589. The next prime is 34218648619. The reversal of 34218648612 is 21684681243.

34218648612 is a `hidden beast` number, since 3 + 4 + 21 + 8 + 6 + 4 + 8 + 612 = 666.

It is not an unprimeable number, because it can be changed into a prime (34218648619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3691888 + ... + 3701144.

It is an arithmetic number, because the mean of its divisors is an integer number (1246305788).

Almost surely, 234218648612 is an apocalyptic number.

It is an amenable number.

34218648612 is an abundant number, since it is smaller than the sum of its proper divisors (55515368124).

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

34218648612 is a wasteful number, since it uses less digits than its factorization.

34218648612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13079 (or 13065 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 34218648612 in words is "thirty-four billion, two hundred eighteen million, six hundred forty-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 3803 7606 9257 11409 15212 18514 22818 27771 34227 37028 45636 55542 68454 83313 102681 111084 136908 166626 205362 249939 308043 333252 410724 499878 616086 749817 924129 999756 1232172 1499634 1848258 2249451 2999268 3696516 4498902 8997804 35204371 70408742 105613113 140817484 211226226 316839339 422452452 633678678 950518017 1267357356 1901036034 2851554051 3802072068 5703108102 8554662153 11406216204 17109324306 34218648612