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2114496384 = 273711135501
BaseRepresentation
bin111111000001000…
…1010011110000000
312110100210112201220
41332002022132000
513312302341014
6545452555040
7103253631330
oct17602123600
95410715656
102114496384
1199563a480
124b0182a80
132790c51c0
14160b810c0
15c597c6a9
hex7e08a780

2114496384 has 256 divisors, whose sum is σ = 7542581760. Its totient is φ = 506880000.

The previous prime is 2114496379. The next prime is 2114496407. The reversal of 2114496384 is 4836944112.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 381634 + ... + 387134.

It is an arithmetic number, because the mean of its divisors is an integer number (29463210).

Almost surely, 22114496384 is an apocalyptic number.

2114496384 is a gapful number since it is divisible by the number (24) 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 2114496384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771290880).

2114496384 is an abundant number, since it is smaller than the sum of its proper divisors (5428085376).

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

2114496384 is a wasteful number, since it uses less digits than its factorization.

2114496384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5537 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 2114496384 is about 45983.6534433705. The cubic root of 2114496384 is about 1283.5190403695.

The spelling of 2114496384 in words is "two billion, one hundred fourteen million, four hundred ninety-six thousand, three hundred eighty-four".