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2116752000 = 273531119211
BaseRepresentation
bin111111000101011…
…0001001010000000
312110112001010212020
41332022301022000
513313342031000
6550013201440
7103312044426
oct17612611200
95415033766
102116752000
11996940120
124b0a90280
13279704a9c
141611ab116
15c5c75ba0
hex7e2b1280

2116752000 has 512 divisors, whose sum is σ = 8096025600. Its totient is φ = 483840000.

The previous prime is 2116751983. The next prime is 2116752037. The reversal of 2116752000 is 2576112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10031895 + ... + 10032105.

It is an arithmetic number, because the mean of its divisors is an integer number (15812550).

Almost surely, 22116752000 is an apocalyptic number.

2116752000 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 2116752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048012800).

2116752000 is an abundant number, since it is smaller than the sum of its proper divisors (5979273600).

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

2116752000 is a wasteful number, since it uses less digits than its factorization.

2116752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2116752000 is about 46008.1731869458. The cubic root of 2116752000 is about 1283.9752715029.

The spelling of 2116752000 in words is "two billion, one hundred sixteen million, seven hundred fifty-two thousand".