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1649940864 = 273111330047
BaseRepresentation
bin110001001011000…
…0001100110000000
311020222122200100220
41202112001212000
511334341101424
6431415543040
755613160135
oct14226014600
94228580326
101649940864
11777391aa0
123a068aa80
13203aa0290
141191b458c
1599cb6579
hex62581980

1649940864 has 128 divisors (see below), whose sum is σ = 5149025280. Its totient is φ = 461506560.

The previous prime is 1649940823. The next prime is 1649940881. The reversal of 1649940864 is 4680499461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39889 + ... + 69935.

It is an arithmetic number, because the mean of its divisors is an integer number (40226760).

Almost surely, 21649940864 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 1649940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574512640).

1649940864 is an abundant number, since it is smaller than the sum of its proper divisors (3499084416).

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

1649940864 is a wasteful number, since it uses less digits than its factorization.

1649940864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30088 (or 30076 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 1649940864 is about 40619.4641028165. The cubic root of 1649940864 is about 1181.6516333320.

The spelling of 1649940864 in words is "one billion, six hundred forty-nine million, nine hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 27456 30047 54912 60094 90141 120188 180282 240376 330517 360564 390611 480752 661034 721128 781222 961504 991551 1171833 1322068 1442256 1562444 1923008 1983102 2343666 2644136 2884512 3124888 3846016 3966204 4296721 4687332 5288272 5769024 6249776 7932408 8593442 9374664 10576544 11538048 12499552 12890163 15864816 17186884 18749328 21153088 24999104 25780326 31729632 34373768 37498656 42306176 49998208 51560652 63459264 68747536 74997312 103121304 126918528 137495072 149994624 206242608 274990144 412485216 549980288 824970432 1649940864