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5833080768 = 2637325701
BaseRepresentation
bin1010110111010110…
…11011111111000000
3120001111222012112110
411123223123333000
543421232041033
62402451055320
7264356240244
oct53353337700
916044865473
105833080768
112523692a09
1211695a1540
1371c624aa8
143d499c424
15242165363
hex15badbfc0

5833080768 has 84 divisors (see below), whose sum is σ = 15650416248. Its totient is φ = 1917388800.

The previous prime is 5833080739. The next prime is 5833080791. The reversal of 5833080768 is 8670803385.

It is a happy number.

It is a super-2 number, since 2×58330807682 = 68049662492022939648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1020318 + ... + 1026018.

Almost surely, 25833080768 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 5833080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7825208124).

5833080768 is an abundant number, since it is smaller than the sum of its proper divisors (9817335480).

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

5833080768 is an equidigital number, since it uses as much as digits as its factorization.

5833080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 5833080768 is about 76374.6081364743. The cubic root of 5833080768 is about 1800.1111832557. Note that the first 4 decimals are identical.

The spelling of 5833080768 in words is "five billion, eight hundred thirty-three million, eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 5329 5701 7008 10658 11402 14016 15987 17103 21316 22804 31974 34206 42632 45608 63948 68412 85264 91216 127896 136824 170528 182432 255792 273648 341056 364864 416173 511584 547296 832346 1023168 1094592 1248519 1664692 2497038 3329384 4994076 6658768 9988152 13317536 19976304 26635072 30380629 39952608 60761258 79905216 91141887 121522516 182283774 243045032 364567548 486090064 729135096 972180128 1458270192 1944360256 2916540384 5833080768