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5037426119880 = 233257111997151653
BaseRepresentation
bin100100101001101110111…
…1111101001010011001000
3122211120110212222000011100
41021103131333221103020
51130013122041314010
614414054524101400
71026641054350230
oct111233577512310
918746425860140
105037426119880
1116723a67a0350
12694353994860
132a7047b1a72b
14135b54190cc0
158b07d2872c0
hex494ddfe94c8

5037426119880 has 1536 divisors, whose sum is σ = 21884392857600. Its totient is φ = 973430784000.

The previous prime is 5037426119867. The next prime is 5037426119897. The reversal of 5037426119880 is 889116247305.

5037426119880 is a `hidden beast` number, since 5 + 0 + 374 + 2 + 6 + 1 + 198 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7714281634 + ... + 7714282286.

It is an arithmetic number, because the mean of its divisors is an integer number (14247651600).

It is a 3-persistent number, because k⋅5037426119880 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 25037426119880 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 5037426119880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10942196428800).

5037426119880 is an abundant number, since it is smaller than the sum of its proper divisors (16846966737720).

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

5037426119880 is a wasteful number, since it uses less digits than its factorization.

5037426119880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 5037426119880 in words is "five trillion, thirty-seven billion, four hundred twenty-six million, one hundred nineteen thousand, eight hundred eighty".