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15012049920 = 2103571743191
BaseRepresentation
bin11011111101100100…
…11011010000000000
31102202012211011001220
431332302123100000
5221221041044140
610521344155040
71041004214250
oct157662332000
942665734056
1015012049920
116403a0232a
122aab608a80
1315531a799a
14a25a7d960
155ccde4bd0
hex37ec9b400

15012049920 has 704 divisors, whose sum is σ = 59764801536. Its totient is φ = 3137863680.

The previous prime is 15012049889. The next prime is 15012049957. The reversal of 15012049920 is 2994021051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78597025 + ... + 78597215.

It is an arithmetic number, because the mean of its divisors is an integer number (84893184).

Almost surely, 215012049920 is an apocalyptic number.

15012049920 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 15012049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29882400768).

15012049920 is an abundant number, since it is smaller than the sum of its proper divisors (44752751616).

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

15012049920 is a wasteful number, since it uses less digits than its factorization.

15012049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 15012049920 in words is "fifteen billion, twelve million, forty-nine thousand, nine hundred twenty".