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15089426820 = 22345133492053
BaseRepresentation
bin11100000110110011…
…00110000110000100
31102221121102022020000
432003121212012010
5221400343124240
610533150441300
71042634004006
oct160331460604
942847368200
1015089426820
116443651786
122b11503230
13156622a130
14a32062376
155d4acb430
hex383666184

15089426820 has 240 divisors, whose sum is σ = 51148297200. Its totient is φ = 3701873664.

The previous prime is 15089426813. The next prime is 15089426857. The reversal of 15089426820 is 2862498051.

It can be written as a sum of positive squares in 8 ways, for example, as 279023616 + 14810403204 = 16704^2 + 121698^2 .

It is a super-2 number, since 2×150894268202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7348914 + ... + 7350966.

It is an arithmetic number, because the mean of its divisors is an integer number (213117905).

Almost surely, 215089426820 is an apocalyptic number.

15089426820 is a gapful number since it is divisible by the number (10) 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 15089426820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25574148600).

15089426820 is an abundant number, since it is smaller than the sum of its proper divisors (36058870380).

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

15089426820 is a wasteful number, since it uses less digits than its factorization.

15089426820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 15089426820 in words is "fifteen billion, eighty-nine million, four hundred twenty-six thousand, eight hundred twenty".