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64028513076 = 223111733737517
BaseRepresentation
bin111011101000011001…
…011001001100110100
320010021020221110210020
4323220121121030310
52022112244404301
645225253125140
74424454244533
oct735031311464
9203236843706
1064028513076
1125177476610
12104ab0297b0
136065252b38
14315590a31a
1519eb25b436
hexee8659334

64028513076 has 96 divisors (see below), whose sum is σ = 164385099648. Its totient is φ = 19236149760.

The previous prime is 64028513063. The next prime is 64028513077. The reversal of 64028513076 is 67031582046.

64028513076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64028513077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8514070 + ... + 8521586.

It is an arithmetic number, because the mean of its divisors is an integer number (1712344788).

Almost surely, 264028513076 is an apocalyptic number.

64028513076 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64028513076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82192549824).

64028513076 is an abundant number, since it is smaller than the sum of its proper divisors (100356586572).

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

64028513076 is a wasteful number, since it uses less digits than its factorization.

64028513076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 64028513076 in words is "sixty-four billion, twenty-eight million, five hundred thirteen thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 373 519 692 746 1038 1119 1492 1903 2076 2238 3806 4103 4476 5709 7517 7612 8206 11418 12309 15034 16412 22551 22836 24618 30068 45102 49236 64529 82687 90204 129058 165374 193587 248061 258116 330748 387174 496122 709819 774348 992244 1300441 1419638 2129457 2600882 2803841 2839276 3901323 4258914 5201764 5607682 7802646 8411523 8517828 11215364 14304851 15605292 16823046 28609702 30842251 33646092 42914553 57219404 61684502 85829106 92526753 123369004 171658212 185053506 370107012 485064493 970128986 1455193479 1940257972 2910386958 5335709423 5820773916 10671418846 16007128269 21342837692 32014256538 64028513076