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1000056060000 = 25325435315739
BaseRepresentation
bin11101000110101111111…
…11000111100001100000
310112121022121220120100100
432203113333013201200
5112341103322410000
62043230332022400
7132152215153164
oct16432777074140
93477277816310
101000056060000
11356137635678
12141998901a00
13733c6a9633a
143658da7aca4
151b03163ba00
hexe8d7fc7860

1000056060000 has 360 divisors, whose sum is σ = 3564042922440. Its totient is φ = 265909248000.

The previous prime is 1000056059963. The next prime is 1000056060001. The reversal of 1000056060000 is 606500001.

1000056060000 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 5 + 60 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10000560600002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000056060001) 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, 63532131 + ... + 63547869.

It is an arithmetic number, because the mean of its divisors is an integer number (9900119229).

Almost surely, 21000056060000 is an apocalyptic number.

1000056060000 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 1000056060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782021461220).

1000056060000 is an abundant number, since it is smaller than the sum of its proper divisors (2563986862440).

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

1000056060000 is a wasteful number, since it uses less digits than its factorization.

1000056060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16128 (or 16102 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 1000056060000 in words is "one trillion, fifty-six million, sixty thousand".