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2083277568 = 2834166161
BaseRepresentation
bin111110000101100…
…0100101100000000
312101012001110120110
41330023010230000
513231304340233
6542415511320
7102424365351
oct17413045400
95335043513
102083277568
11979a572a9
124a1828540
132727b4528
1415a975d28
15c2d62663
hex7c2c4b00

2083277568 has 72 divisors (see below), whose sum is σ = 5679875376. Its totient is φ = 677478400.

The previous prime is 2083277549. The next prime is 2083277579. The reversal of 2083277568 is 8657723802.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1593 + ... + 64568.

It is an arithmetic number, because the mean of its divisors is an integer number (78887158).

Almost surely, 22083277568 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 2083277568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839937688).

2083277568 is an abundant number, since it is smaller than the sum of its proper divisors (3596597808).

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

2083277568 is an equidigital number, since it uses as much as digits as its factorization.

2083277568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66221 (or 66207 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 2083277568 is about 45642.9355760560. The cubic root of 2083277568 is about 1277.1709916207.

The spelling of 2083277568 in words is "two billion, eighty-three million, two hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1968 2624 3936 5248 7872 10496 15744 31488 66161 132322 198483 264644 396966 529288 793932 1058576 1587864 2117152 2712601 3175728 4234304 5425202 6351456 8137803 8468608 10850404 12702912 16275606 16937216 21700808 25405824 32551212 43401616 50811648 65102424 86803232 130204848 173606464 260409696 347212928 520819392 694425856 1041638784 2083277568