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2116706508 = 2232733741113
BaseRepresentation
bin111111000101010…
…0110000011001100
312110111221211110100
41332022212003030
513313334102013
6550012211100
7103311465000
oct17612460314
95414854410
102116706508
11996909a24
124b0a69a90
132796ba177
14161198700
15c5c67473
hex7e2a60cc

2116706508 has 288 divisors, whose sum is σ = 6622761600. Its totient is φ = 568995840.

The previous prime is 2116706507. The next prime is 2116706509. The reversal of 2116706508 is 8056076112.

It is an interprime number because it is at equal distance from previous prime (2116706507) and next prime (2116706509).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2116706507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18731860 + ... + 18731972.

It is an arithmetic number, because the mean of its divisors is an integer number (22995700).

Almost surely, 22116706508 is an apocalyptic number.

2116706508 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116706508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311380800).

2116706508 is an abundant number, since it is smaller than the sum of its proper divisors (4506055092).

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

2116706508 is a wasteful number, since it uses less digits than its factorization.

2116706508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2116706508 is about 46007.6787938709. The cubic root of 2116706508 is about 1283.9660732876.

The spelling of 2116706508 in words is "two billion, one hundred sixteen million, seven hundred six thousand, five hundred eight".