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3380054895360 = 2832511132051801
BaseRepresentation
bin110001001011111010111…
…110001010101100000000
3102222010111211121100110200
4301023322332022230000
5420334323023122420
611104435322525200
7466125624365013
oct61137276125400
912863454540420
103380054895360
111093522963820
124670b1666800
131b6978c73c80
14b984a1c337a
155cdca116b90
hex312faf8ab00

3380054895360 has 432 divisors, whose sum is σ = 13739161651488. Its totient is φ = 756375552000.

The previous prime is 3380054895337. The next prime is 3380054895419. The reversal of 3380054895360 is 635984500833.

It is a happy number.

3380054895360 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 0 + 548 + 95 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×33800548953602 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3380054895297 and 3380054895306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621460 + ... + 2673260.

It is an arithmetic number, because the mean of its divisors is an integer number (31803614934).

Almost surely, 23380054895360 is an apocalyptic number.

3380054895360 is a gapful number since it is divisible by the number (30) 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 3380054895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869580825744).

3380054895360 is an abundant number, since it is smaller than the sum of its proper divisors (10359106756128).

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

3380054895360 is a wasteful number, since it uses less digits than its factorization.

3380054895360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051852 (or 2051835 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3380054895360 in words is "three trillion, three hundred eighty billion, fifty-four million, eight hundred ninety-five thousand, three hundred sixty".