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2116104288 = 25353415901
BaseRepresentation
bin111111000100001…
…0011000001100000
312110110211020100220
41332020103001200
513313210314123
6545551243040
7103303406154
oct17610230140
95413736326
102116104288
11996538521
124b0819480
1327953901c
1416107d064
15c5b98ce3
hex7e213060

2116104288 has 48 divisors (see below), whose sum is σ = 5659594416. Its totient is φ = 692057600.

The previous prime is 2116104283. The next prime is 2116104293. The reversal of 2116104288 is 8824016112.

It is an interprime number because it is at equal distance from previous prime (2116104283) and next prime (2116104293).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116104281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202863 + ... + 213038.

It is an arithmetic number, because the mean of its divisors is an integer number (117908217).

Almost surely, 22116104288 is an apocalyptic number.

It is an amenable number.

2116104288 is an abundant number, since it is smaller than the sum of its proper divisors (3543490128).

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

2116104288 is a wasteful number, since it uses less digits than its factorization.

2116104288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415967 (or 415959 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 2116104288 is about 46001.1335512507. The cubic root of 2116104288 is about 1283.8442955184.

The spelling of 2116104288 in words is "two billion, one hundred sixteen million, one hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 415901 831802 1247703 1663604 2495406 3327208 4990812 6654416 9981624 13308832 19963248 22042753 39926496 44085506 66128259 88171012 132256518 176342024 264513036 352684048 529026072 705368096 1058052144 2116104288