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15428675640 = 23357196911399
BaseRepresentation
bin11100101111001111…
…01110100000111000
31110211020202221010010
432113213232200320
5223044220110030
611030550021520
71054223402430
oct162747564070
943736687103
1015428675640
1165a80a3404
122ba70478a0
1315bb5ba891
14a651312c0
1560478e6b0
hex3979ee838

15428675640 has 256 divisors, whose sum is σ = 55802880000. Its totient is φ = 3333726720.

The previous prime is 15428675599. The next prime is 15428675651. The reversal of 15428675640 is 4657682451.

It is a self number, because there is not a number n which added to its sum of digits gives 15428675640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11027661 + ... + 11029059.

It is an arithmetic number, because the mean of its divisors is an integer number (217980000).

Almost surely, 215428675640 is an apocalyptic number.

15428675640 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 15428675640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27901440000).

15428675640 is an abundant number, since it is smaller than the sum of its proper divisors (40374204360).

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

15428675640 is a wasteful number, since it uses less digits than its factorization.

15428675640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 15428675640 in words is "fifteen billion, four hundred twenty-eight million, six hundred seventy-five thousand, six hundred forty".