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15055445340 = 2232513192314723
BaseRepresentation
bin11100000010101111…
…11101110101011100
31102212020110212101200
432001113331311130
5221313143222330
610525534235500
71042042113435
oct160127756534
942766425350
1015055445340
116426451a11
122b02055b90
13155c18cb50
14a2b73848c
155d1b17a60
hex3815fdd5c

15055445340 has 288 divisors, whose sum is σ = 54024122880. Its totient is φ = 3358029312.

The previous prime is 15055445333. The next prime is 15055445357. The reversal of 15055445340 is 4354455051.

15055445340 is a `hidden beast` number, since 1 + 50 + 554 + 4 + 53 + 4 + 0 = 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 = 15055445295 and 15055445304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1015219 + ... + 1029941.

It is an arithmetic number, because the mean of its divisors is an integer number (187583760).

Almost surely, 215055445340 is an apocalyptic number.

15055445340 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 15055445340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27012061440).

15055445340 is an abundant number, since it is smaller than the sum of its proper divisors (38968677540).

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

15055445340 is a wasteful number, since it uses less digits than its factorization.

15055445340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14793 (or 14788 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 15055445340 in words is "fifteen billion, fifty-five million, four hundred forty-five thousand, three hundred forty".