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12903556055040 = 221335717383
BaseRepresentation
bin1011101111000101011111…
…1000000000000000000000
31200200120100000012111111000
42323301113320000000000
53142402440322230130
643235451204052000
72501152101526320
oct273612770000000
950616300174430
1012903556055040
114125404aa8462
121544966994000
13727a52b10771
1432876d395280
151759b772d260
hexbbc57e00000

12903556055040 has 1408 divisors, whose sum is σ = 55662762885120. Its totient is φ = 2768643293184.

The previous prime is 12903556055021. The next prime is 12903556055077. The reversal of 12903556055040 is 4055065530921.

12903556055040 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 3 + 5 + 56 + 0 + 550 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33690746689 + ... + 33690747071.

Almost surely, 212903556055040 is an apocalyptic number.

12903556055040 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 12903556055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27831381442560).

12903556055040 is an abundant number, since it is smaller than the sum of its proper divisors (42759206830080).

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

12903556055040 is an frugal number, since it uses more digits than its factorization.

12903556055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 12903556055040 in words is "twelve trillion, nine hundred three billion, five hundred fifty-six million, fifty-five thousand, forty".