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2116554660 = 223251137167173
BaseRepresentation
bin111111000101000…
…0000111110100100
312110111200010011100
41332022000332210
513313314222120
6550005040100
7103310263203
oct17612007644
95414603140
102116554660
11996815930
124b09b6030
1327966600c
1416115923a
15c5c37490
hex7e280fa4

2116554660 has 288 divisors, whose sum is σ = 7278066432. Its totient is φ = 493378560.

The previous prime is 2116554653. The next prime is 2116554701. The reversal of 2116554660 is 664556112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12234334 + ... + 12234506.

It is an arithmetic number, because the mean of its divisors is an integer number (25271064).

Almost surely, 22116554660 is an apocalyptic number.

2116554660 is a gapful number since it is divisible by the number (20) 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 2116554660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639033216).

2116554660 is an abundant number, since it is smaller than the sum of its proper divisors (5161511772).

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

2116554660 is a wasteful number, since it uses less digits than its factorization.

2116554660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2116554660 is about 46006.0285180105. The cubic root of 2116554660 is about 1283.9353695596.

The spelling of 2116554660 in words is "two billion, one hundred sixteen million, five hundred fifty-four thousand, six hundred sixty".