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15428666064 = 24372171923883
BaseRepresentation
bin11100101111001111…
…01100001011010000
31110211020202102222110
432113213230023100
5223044214303224
611030545505320
71054223332500
oct162747541320
943736672873
1015428666064
1165a8097199
122ba7042240
1315bb5b6406
14a6512ba00
1560478b929
hex3979ec2d0

15428666064 has 480 divisors, whose sum is σ = 53983687680. Its totient is φ = 3755372544.

The previous prime is 15428666063. The next prime is 15428666129. The reversal of 15428666064 is 46066682451.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15428666063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17472567 + ... + 17473449.

It is an arithmetic number, because the mean of its divisors is an integer number (112466016).

Almost surely, 215428666064 is an apocalyptic number.

15428666064 is a gapful number since it is divisible by the number (14) 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 15428666064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26991843840).

15428666064 is an abundant number, since it is smaller than the sum of its proper divisors (38555021616).

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

15428666064 is a wasteful number, since it uses less digits than its factorization.

15428666064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 15428666064 in words is "fifteen billion, four hundred twenty-eight million, six hundred sixty-six thousand, sixty-four".