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2039993664 = 26324144087
BaseRepresentation
bin111100110010111…
…1101010101000000
312021011121102012220
41321211331111000
513134214244124
6534232051040
7101360442252
oct17145752500
95234542186
102039993664
11957583485
1248b233a80
1326683b057
14154d09cd2
15be162879
hex7997d540

2039993664 has 56 divisors (see below), whose sum is σ = 5420002368. Its totient is φ = 677160960.

The previous prime is 2039993639. The next prime is 2039993699. The reversal of 2039993664 is 4663999302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24229 + ... + 68315.

Almost surely, 22039993664 is an apocalyptic number.

2039993664 is a gapful number since it is divisible by the number (24) 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 2039993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710001184).

2039993664 is an abundant number, since it is smaller than the sum of its proper divisors (3380008704).

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

2039993664 is a wasteful number, since it uses less digits than its factorization.

2039993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44343 (or 44333 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 51.

The square root of 2039993664 is about 45166.2890217915. The cubic root of 2039993664 is about 1268.2638280482.

The spelling of 2039993664 in words is "two billion, thirty-nine million, nine hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 723 964 1446 1928 2892 3856 5784 7712 11568 15424 23136 44087 46272 88174 132261 176348 264522 352696 529044 705392 1058088 1410784 2116176 2821568 4232352 8464704 10624967 21249934 31874901 42499868 63749802 84999736 127499604 169999472 254999208 339998944 509998416 679997888 1019996832 2039993664