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2119732992 = 2832131723181
BaseRepresentation
bin111111001011000…
…1000111100000000
312110201122121000100
41332112020330000
513320122423432
6550201122400
7103346301366
oct17626107400
95421577010
102119732992
11998596853
124b1a89400
1327a2098a0
14161745636
15c616407c
hex7e588f00

2119732992 has 432 divisors, whose sum is σ = 7312189248. Its totient is φ = 583925760.

The previous prime is 2119732963. The next prime is 2119732999. The reversal of 2119732992 is 2992379112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119732999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11711142 + ... + 11711322.

It is an arithmetic number, because the mean of its divisors is an integer number (16926364).

Almost surely, 22119732992 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 2119732992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656094624).

2119732992 is an abundant number, since it is smaller than the sum of its proper divisors (5192456256).

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

2119732992 is a wasteful number, since it uses less digits than its factorization.

2119732992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 2119732992 is about 46040.5581199881. The cubic root of 2119732992 is about 1284.5777235409.

The spelling of 2119732992 in words is "two billion, one hundred nineteen million, seven hundred thirty-two thousand, nine hundred ninety-two".