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13015192428 = 2234721674909
BaseRepresentation
bin11000001111100010…
…00001001101101100
31020121001101021120000
430013301001031230
5203123342124203
65551252424300
7640346211300
oct140761011554
936531337500
1013015192428
115579811787
122632918090
1312c5590ac4
148b67a1d00
155129534a3
hex307c4136c

13015192428 has 180 divisors, whose sum is σ = 39824381520. Its totient is φ = 3695606208.

The previous prime is 13015192403. The next prime is 13015192429. The reversal of 13015192428 is 82429151031.

13015192428 is a `hidden beast` number, since 1 + 30 + 15 + 192 + 428 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13015192392 and 13015192401.

It is not an unprimeable number, because it can be changed into a prime (13015192429) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2648838 + ... + 2653746.

It is an arithmetic number, because the mean of its divisors is an integer number (221246564).

Almost surely, 213015192428 is an apocalyptic number.

13015192428 is a gapful number since it is divisible by the number (18) 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 13015192428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19912190760).

13015192428 is an abundant number, since it is smaller than the sum of its proper divisors (26809189092).

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

13015192428 is a wasteful number, since it uses less digits than its factorization.

13015192428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13015192428 in words is "thirteen billion, fifteen million, one hundred ninety-two thousand, four hundred twenty-eight".