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64054052136 = 233210127132503
BaseRepresentation
bin111011101001111010…
…110100010100101000
320010100000222222210100
4323221322310110220
52022140314132021
645232004345400
74425214313454
oct735172642450
9203300888710
1064054052136
112518a92a478
12104b76a5260
13606a6254c9
143159077664
1519ed603626
hexee9eb4528

64054052136 has 96 divisors (see below), whose sum is σ = 175849240320. Its totient is φ = 21061296000.

The previous prime is 64054052077. The next prime is 64054052207. The reversal of 64054052136 is 63125045046.

64054052136 is a `hidden beast` number, since 64 + 0 + 5 + 40 + 521 + 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 64054052136.

It is an unprimeable number.

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, 1954461 + ... + 1986963.

It is an arithmetic number, because the mean of its divisors is an integer number (1831762920).

Almost surely, 264054052136 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 64054052136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87924620160).

64054052136 is an abundant number, since it is smaller than the sum of its proper divisors (111795188184).

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

64054052136 is a wasteful number, since it uses less digits than its factorization.

64054052136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32887 (or 32880 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 64054052136 in words is "sixty-four billion, fifty-four million, fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 271 303 404 542 606 808 813 909 1084 1212 1626 1818 2168 2424 2439 3252 3636 4878 6504 7272 9756 19512 27371 32503 54742 65006 82113 97509 109484 130012 164226 195018 218968 246339 260024 292527 328452 390036 492678 585054 656904 780072 985356 1170108 1970712 2340216 3282803 6565606 8808313 9848409 13131212 17616626 19696818 26262424 26424939 29545227 35233252 39393636 52849878 59090454 70466504 78787272 79274817 105699756 118180908 158549634 211399512 236361816 317099268 634198536 889639613 1779279226 2668918839 3558558452 5337837678 7117116904 8006756517 10675675356 16013513034 21351350712 32027026068 64054052136