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5880542976 = 283471129127
BaseRepresentation
bin1010111101000000…
…11111011100000000
3120011211021112110000
411132200133130000
544020404333401
62411304240000
7265503535110
oct53640373400
916154245400
105880542976
11254845aa80
121181470000
13729402039
143dadd5040
152463dd186
hex15e81f700

5880542976 has 720 divisors, whose sum is σ = 22793379840. Its totient is φ = 1463132160.

The previous prime is 5880542929. The next prime is 5880542989. The reversal of 5880542976 is 6792450885.

5880542976 is a `hidden beast` number, since 5 + 8 + 8 + 0 + 542 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46303425 + ... + 46303551.

It is an arithmetic number, because the mean of its divisors is an integer number (31657472).

Almost surely, 25880542976 is an apocalyptic number.

5880542976 is a gapful number since it is divisible by the number (56) 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 5880542976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11396689920).

5880542976 is an abundant number, since it is smaller than the sum of its proper divisors (16912836864).

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

5880542976 is a wasteful number, since it uses less digits than its factorization.

5880542976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5880542976 is about 76684.6984476043. The cubic root of 5880542976 is about 1804.9803407389.

The spelling of 5880542976 in words is "five billion, eight hundred eighty million, five hundred forty-two thousand, nine hundred seventy-six".