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2591992116 = 2233710333287
BaseRepresentation
bin1001101001111110…
…1010100100110100
320200122021211202000
42122133222210310
520302022221431
61105111215300
7121142366220
oct23237524464
96618254660
102591992116
11111012604a
12604077530
13323ccb05c
141a8359780
1510284c9e6
hex9a7ea934

2591992116 has 96 divisors (see below), whose sum is σ = 7754772480. Its totient is φ = 733357152.

The previous prime is 2591992111. The next prime is 2591992121. The reversal of 2591992116 is 6112991952.

It is an interprime number because it is at equal distance from previous prime (2591992111) and next prime (2591992121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2591992111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61225 + ... + 94511.

It is an arithmetic number, because the mean of its divisors is an integer number (80778880).

Almost surely, 22591992116 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 2591992116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877386240).

2591992116 is an abundant number, since it is smaller than the sum of its proper divisors (5162780364).

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

2591992116 is a wasteful number, since it uses less digits than its factorization.

2591992116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33410 (or 33402 counting only the distinct ones).

The product of its digits is 87480, while the sum is 45.

The square root of 2591992116 is about 50911.6108171800. The cubic root of 2591992116 is about 1373.6556983269.

The spelling of 2591992116 in words is "two billion, five hundred ninety-one million, nine hundred ninety-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 103 108 126 189 206 252 309 378 412 618 721 756 927 1236 1442 1854 2163 2781 2884 3708 4326 5562 6489 8652 11124 12978 19467 25956 33287 38934 66574 77868 99861 133148 199722 233009 299583 399444 466018 599166 699027 898749 932036 1198332 1398054 1797498 2097081 2796108 3428561 3594996 4194162 6291243 6857122 8388324 10285683 12582486 13714244 20571366 23999927 25164972 30857049 41142732 47999854 61714098 71999781 92571147 95999708 123428196 143999562 185142294 215999343 287999124 370284588 431998686 647998029 863997372 1295996058 2591992116