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2149361702208 = 263279710751361
BaseRepresentation
bin11111010001101111111…
…100001101010101000000
321121110212201020110212200
4133101233330031111000
5240203343043432313
64323223024353200
7311200121011560
oct37215774152500
97543781213780
102149361702208
117595a27133a6
122a8688a75800
131278b77c9116
147605b568da0
153ad9aa26b73
hex1f46ff0d540

2149361702208 has 336 divisors, whose sum is σ = 7180072308864. Its totient is φ = 602080542720.

The previous prime is 2149361702171. The next prime is 2149361702227. The reversal of 2149361702208 is 8022071639412.

2149361702208 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 3 + 617 + 0 + 2 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 41822448 + ... + 41873808.

It is an arithmetic number, because the mean of its divisors is an integer number (21369262824).

Almost surely, 22149361702208 is an apocalyptic number.

2149361702208 is a gapful number since it is divisible by the number (28) 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 2149361702208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590036154432).

2149361702208 is an abundant number, since it is smaller than the sum of its proper divisors (5030710606656).

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

2149361702208 is a wasteful number, since it uses less digits than its factorization.

2149361702208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51590 (or 51577 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2149361702208 in words is "two trillion, one hundred forty-nine billion, three hundred sixty-one million, seven hundred two thousand, two hundred eight".