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15133198080 = 28357111331127
BaseRepresentation
bin11100001100000001…
…00100011100000000
31110001122210010002210
432012000210130000
5221443044314310
610541352542120
71044005030010
oct160600443400
943048703083
1015133198080
116466328780
122b240b1940
1315723143a0
14a37bb7c40
155d8875820
hex386024700

15133198080 has 1152 divisors, whose sum is σ = 67513614336. Its totient is φ = 2786918400.

The previous prime is 15133198079. The next prime is 15133198099. The reversal of 15133198080 is 8089133151.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119158977 + ... + 119159103.

It is an arithmetic number, because the mean of its divisors is an integer number (58605568).

Almost surely, 215133198080 is an apocalyptic number.

15133198080 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 15133198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33756807168).

15133198080 is an abundant number, since it is smaller than the sum of its proper divisors (52380416256).

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

15133198080 is a wasteful number, since it uses less digits than its factorization.

15133198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 15133198080 in words is "fifteen billion, one hundred thirty-three million, one hundred ninety-eight thousand, eighty".