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2113458984 = 2332731329227
BaseRepresentation
bin111110111111000…
…1101001100101000
312110021211211200200
41331332031030220
513312021141414
6545414432200
7103242051000
oct17576151450
95407754620
102113458984
11994aa101a
124ab962660
13278b20c60
14160991000
15c5825109
hex7df8d328

2113458984 has 384 divisors, whose sum is σ = 7469280000. Its totient is φ = 535804416.

The previous prime is 2113458979. The next prime is 2113459027. The reversal of 2113458984 is 4898543112.

2113458984 is a `hidden beast` number, since 2 + 113 + 458 + 9 + 84 = 666.

It is a congruent number.

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, 9310279 + ... + 9310505.

It is an arithmetic number, because the mean of its divisors is an integer number (19451250).

Almost surely, 22113458984 is an apocalyptic number.

2113458984 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 2113458984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640000).

2113458984 is an abundant number, since it is smaller than the sum of its proper divisors (5355821016).

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

2113458984 is a wasteful number, since it uses less digits than its factorization.

2113458984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2113458984 is about 45972.3719640394. The cubic root of 2113458984 is about 1283.3091022055.

The spelling of 2113458984 in words is "two billion, one hundred thirteen million, four hundred fifty-eight thousand, nine hundred eighty-four".