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5957542500 = 2235472132943
BaseRepresentation
bin1011000110001100…
…01110001001100100
3120101012011111221020
411203012032021210
544200112330000
62423054451140
7300430163400
oct54306161144
916335144836
105957542500
112587971948
1211a3203ab0
1373c3517a0
1440731a100
1524d04cba0
hex16318e264

5957542500 has 720 divisors, whose sum is σ = 23034876480. Its totient is φ = 1185408000.

The previous prime is 5957542499. The next prime is 5957542541. The reversal of 5957542500 is 52457595.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 138547479 + ... + 138547521.

It is an arithmetic number, because the mean of its divisors is an integer number (31992884).

Almost surely, 25957542500 is an apocalyptic number.

5957542500 is a gapful number since it is divisible by the number (50) 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 5957542500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11517438240).

5957542500 is an abundant number, since it is smaller than the sum of its proper divisors (17077333980).

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

5957542500 is a wasteful number, since it uses less digits than its factorization.

5957542500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 42.

The square root of 5957542500 is about 77185.1183843103. The cubic root of 5957542500 is about 1812.8243097840.

The spelling of 5957542500 in words is "five billion, nine hundred fifty-seven million, five hundred forty-two thousand, five hundred".