Search a number
-
+
64015635132 = 223217223267521
BaseRepresentation
bin111011100111101000…
…010001001010111100
320010020100201012120100
4323213220101022330
52022101000311012
645224113121100
74424236630521
oct734750211274
9203210635510
1064015635132
1125170180189
12104a6859190
136062694357
143153d17148
1519ea0658dc
hexee7a112bc

64015635132 has 108 divisors (see below), whose sum is σ = 179370290736. Its totient is φ = 19210076160.

The previous prime is 64015635127. The next prime is 64015635161. The reversal of 64015635132 is 23153651046.

64015635132 is a `hidden beast` number, since 6 + 4 + 0 + 1 + 5 + 635 + 13 + 2 = 666.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 105532 + ... + 373052.

Almost surely, 264015635132 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 64015635132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89685145368).

64015635132 is an abundant number, since it is smaller than the sum of its proper divisors (115354655604).

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

64015635132 is a wasteful number, since it uses less digits than its factorization.

64015635132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267588 (or 267566 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 64015635132 in words is "sixty-four billion, fifteen million, six hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 289 306 391 414 578 612 782 828 867 1156 1173 1564 1734 2346 2601 3468 3519 4692 5202 6647 7038 10404 13294 14076 19941 26588 39882 59823 79764 119646 239292 267521 535042 802563 1070084 1605126 2407689 3210252 4547857 4815378 6152983 9095714 9630756 12305966 13643571 18191428 18458949 24611932 27287142 36917898 40930713 54574284 55376847 73835796 77313569 81861426 104600711 110753694 154627138 163722852 209201422 221507388 231940707 309254276 313802133 418402844 463881414 627604266 695822121 927762828 941406399 1255208532 1391644242 1778212087 1882812798 2783288484 3556424174 3765625596 5334636261 7112848348 10669272522 16003908783 21338545044 32007817566 64015635132