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2159064288 = 25334675351
BaseRepresentation
bin1000000010110000…
…1011010011100000
312120110122211102000
42000230023103200
513410210024123
6554124124000
7104334513033
oct20054132340
95513584360
102159064288
11a0880aa57
12503096600
132853cac44
14166a6301a
15c9832b43
hex80b0b4e0

2159064288 has 96 divisors (see below), whose sum is σ = 6311934720. Its totient is φ = 718012800.

The previous prime is 2159064283. The next prime is 2159064307. The reversal of 2159064288 is 8824609512.

2159064288 is a `hidden beast` number, since 215 + 9 + 0 + 6 + 428 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159064283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400813 + ... + 406163.

It is an arithmetic number, because the mean of its divisors is an integer number (65749320).

Almost surely, 22159064288 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 2159064288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155967360).

2159064288 is an abundant number, since it is smaller than the sum of its proper divisors (4152870432).

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

2159064288 is a wasteful number, since it uses less digits than its factorization.

2159064288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2159064288 is about 46465.7324057202. The cubic root of 2159064288 is about 1292.4741268374.

The spelling of 2159064288 in words is "two billion, one hundred fifty-nine million, sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 467 864 934 1401 1868 2802 3736 4203 5351 5604 7472 8406 10702 11208 12609 14944 16053 16812 21404 22416 25218 32106 33624 42808 44832 48159 50436 64212 67248 85616 96318 100872 128424 134496 144477 171232 192636 201744 256848 288954 385272 403488 513696 577908 770544 1155816 1541088 2311632 2498917 4623264 4997834 7496751 9995668 14993502 19991336 22490253 29987004 39982672 44980506 59974008 67470759 79965344 89961012 119948016 134941518 179922024 239896032 269883036 359844048 539766072 719688096 1079532144 2159064288