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64413554136 = 233411031374639
BaseRepresentation
bin111011111111010110…
…001101010111011000
320011021002110120211020
4323333112031113120
52023404332213021
645331410002440
74440141114321
oct737726152730
9204232416736
1064413554136
1125354854668
1210597b76420
1360c6c57699
143190ad9448
151a1ee677c6
hexeff58d5d8

64413554136 has 128 divisors (see below), whose sum is σ = 167815065600. Its totient is φ = 20588267520.

The previous prime is 64413554129. The next prime is 64413554167. The reversal of 64413554136 is 63145531446.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13882905 + ... + 13887543.

It is an arithmetic number, because the mean of its divisors is an integer number (1311055200).

Almost surely, 264413554136 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 64413554136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83907532800).

64413554136 is an abundant number, since it is smaller than the sum of its proper divisors (103401511464).

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

64413554136 is a wasteful number, since it uses less digits than its factorization.

64413554136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4925 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 64413554136 in words is "sixty-four billion, four hundred thirteen million, five hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 103 123 137 164 206 246 274 309 328 411 412 492 548 618 822 824 984 1096 1236 1644 2472 3288 4223 4639 5617 8446 9278 11234 12669 13917 14111 16851 16892 18556 22468 25338 27834 28222 33702 33784 37112 42333 44936 50676 55668 56444 67404 84666 101352 111336 112888 134808 169332 190199 338664 380398 477817 570597 578551 635543 760796 955634 1141194 1157102 1271086 1433451 1521592 1735653 1906629 1911268 2282388 2314204 2542172 2866902 3471306 3813258 3822536 4564776 4628408 5084344 5733804 6942612 7626516 11467608 13885224 15253032 19590497 26057263 39180994 52114526 58771491 65460929 78171789 78361988 104229052 117542982 130921858 156343578 156723976 196382787 208458104 235085964 261843716 312687156 392765574 470171928 523687432 625374312 785531148 1571062296 2683898089 5367796178 8051694267 10735592356 16103388534 21471184712 32206777068 64413554136