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34356122136 = 233477574101
BaseRepresentation
bin11111111111110010…
…001101001000011000
310021200100002211120000
4133333302031020120
51030330131402021
623441042533000
72324243135250
oct377762151030
9107610084500
1034356122136
1113630154076
1267a9967160
133316a0446b
14193cbc0960
15d61296b26
hex7ffc8d218

34356122136 has 80 divisors (see below), whose sum is σ = 109975961040. Its totient is φ = 9816033600.

The previous prime is 34356122081. The next prime is 34356122147. The reversal of 34356122136 is 63122165343.

34356122136 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 612 + 2 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34356122136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3782515 + ... + 3791586.

It is an arithmetic number, because the mean of its divisors is an integer number (1374699513).

Almost surely, 234356122136 is an apocalyptic number.

34356122136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34356122136 is an abundant number, since it is smaller than the sum of its proper divisors (75619838904).

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

34356122136 is a wasteful number, since it uses less digits than its factorization.

34356122136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7574126 (or 7574113 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 34356122136 its reverse (63122165343), we get a palindrome (97478287479).

The spelling of 34356122136 in words is "thirty-four billion, three hundred fifty-six million, one hundred twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 7574101 15148202 22722303 30296404 45444606 53018707 60592808 68166909 90889212 106037414 136333818 159056121 181778424 204500727 212074828 272667636 318112242 409001454 424149656 477168363 545335272 613502181 636224484 818002908 954336726 1227004362 1272448968 1431505089 1636005816 1908673452 2454008724 2863010178 3817346904 4294515267 4908017448 5726020356 8589030534 11452040712 17178061068 34356122136