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15056066252448 = 25331316744318119
BaseRepresentation
bin1101101100011000001101…
…1110110000111010100000
31222022100100010220002211000
43123012003132300322200
53433134310430034243
652004354503552000
73112523233365414
oct333060336607240
958270303802730
1015056066252448
114885272985901
121831b7215b600
13852a1c9b40a0
143a0a08b3cd44
151b199987c5d3
hexdb1837b0ea0

15056066252448 has 384 divisors, whose sum is σ = 47684696371200. Its totient is φ = 4594247064576.

The previous prime is 15056066252443. The next prime is 15056066252467. The reversal of 15056066252448 is 84425266065051.

15056066252448 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 6 + 0 + 6 + 625 + 2 + 4 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 15056066252394 and 15056066252403.

It is not an unprimeable number, because it can be changed into a prime (15056066252443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 830945533 + ... + 830963651.

It is an arithmetic number, because the mean of its divisors is an integer number (124178896800).

Almost surely, 215056066252448 is an apocalyptic number.

15056066252448 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 15056066252448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23842348185600).

15056066252448 is an abundant number, since it is smaller than the sum of its proper divisors (32628630118752).

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

15056066252448 is a wasteful number, since it uses less digits than its factorization.

15056066252448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18761 (or 18747 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 15056066252448 in words is "fifteen trillion, fifty-six billion, sixty-six million, two hundred fifty-two thousand, four hundred forty-eight".