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5155840871424 = 2103329131191257
BaseRepresentation
bin100101100000111000000…
…0100000100110000000000
3200020220010102012122121000
41023001300010010300000
51133433130230341144
614544321031132000
71041332354212065
oct113016004046000
920226112178530
105155840871424
111708641839881
126b32a0814000
132b5269765559
1413b788b62c6c
158e1adea4769
hex4b070104c00

5155840871424 has 704 divisors, whose sum is σ = 16061790412800. Its totient is φ = 1631689113600.

The previous prime is 5155840871393. The next prime is 5155840871437. The reversal of 5155840871424 is 4241780485515.

5155840871424 is a `hidden beast` number, since 5 + 1 + 558 + 4 + 0 + 87 + 1 + 4 + 2 + 4 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 20061637504 + ... + 20061637760.

It is an arithmetic number, because the mean of its divisors is an integer number (22815043200).

Almost surely, 25155840871424 is an apocalyptic number.

5155840871424 is a gapful number since it is divisible by the number (54) 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 5155840871424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030895206400).

5155840871424 is an abundant number, since it is smaller than the sum of its proper divisors (10905949541376).

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

5155840871424 is a wasteful number, since it uses less digits than its factorization.

5155840871424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 5155840871424 in words is "five trillion, one hundred fifty-five billion, eight hundred forty million, eight hundred seventy-one thousand, four hundred twenty-four".