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2039918364 = 22331110931571
BaseRepresentation
bin111100110010110…
…1010111100011100
312021011110120221000
41321211222330130
513134204341424
6534230310300
7101360006601
oct17145527434
95234416830
102039918364
11957531950
1248b1b8390
132668129b3
14154cca6a8
15be14a3c9
hex7996af1c

2039918364 has 96 divisors (see below), whose sum is σ = 5778420480. Its totient is φ = 617198400.

The previous prime is 2039918347. The next prime is 2039918371. The reversal of 2039918364 is 4638199302.

It is a happy number.

2039918364 is a `hidden beast` number, since 20 + 399 + 183 + 64 = 666.

It is a super-2 number, since 2×20399183642 = 8322533863568872992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1297699 + ... + 1299269.

It is an arithmetic number, because the mean of its divisors is an integer number (60191880).

Almost surely, 22039918364 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 2039918364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889210240).

2039918364 is an abundant number, since it is smaller than the sum of its proper divisors (3738502116).

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

2039918364 is a wasteful number, since it uses less digits than its factorization.

2039918364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2039918364 is about 45165.4554277935. The cubic root of 2039918364 is about 1268.2482231891.

The spelling of 2039918364 in words is "two billion, thirty-nine million, nine hundred eighteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1093 1188 1571 2186 3142 3279 4372 4713 6284 6558 9426 9837 12023 13116 14139 17281 18852 19674 24046 28278 29511 34562 36069 39348 42417 48092 51843 56556 59022 69124 72138 84834 103686 108207 118044 144276 155529 169668 207372 216414 311058 324621 432828 466587 622116 649242 933174 1298484 1717103 1866348 3434206 5151309 6868412 10302618 15453927 18888133 20605236 30907854 37776266 46361781 56664399 61815708 75552532 92723562 113328798 169993197 185447124 226657596 339986394 509979591 679972788 1019959182 2039918364