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5874199040 = 2951743273
BaseRepresentation
bin1010111100010000…
…10010101000000000
3120011101100020012102
411132020102220000
544012243332130
62410520245532
7265365603503
oct53610225000
916141306172
105874199040
112544917756
12117b3108a8
13727cc0628
143da22313a
15245a88645
hex15e212a00

5874199040 has 240 divisors, whose sum is σ = 15476819688. Its totient is φ = 2130444288.

The previous prime is 5874199039. The next prime is 5874199151. The reversal of 5874199040 is 409914785.

It can be written as a sum of positive squares in 4 ways, for example, as 5419315456 + 454883584 = 73616^2 + 21328^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80468444 + ... + 80468516.

Almost surely, 25874199040 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 5874199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738409844).

5874199040 is an abundant number, since it is smaller than the sum of its proper divisors (9602620648).

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

5874199040 is an equidigital number, since it uses as much as digits as its factorization.

5874199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 5874199040 is about 76643.3235187515. The cubic root of 5874199040 is about 1804.3310356238.

The spelling of 5874199040 in words is "five billion, eight hundred seventy-four million, one hundred ninety-nine thousand, forty".