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136348930181376 = 28341122331199383
BaseRepresentation
bin11111000000001000110101…
…100011001000100100000000
3122212202211102101020121210000
4133000020311203020210000
5120332420102111301001
61201553500033440000
740501612411630323
oct3700106543104400
9585684371217700
10136348930181376
113a499290529400
1213361404a10000
135b1085896c313
1425954756da7ba
1510b6b366b1a86
hex7c02358c8900

136348930181376 has 2160 divisors, whose sum is σ = 485043122995200. Its totient is φ = 37954991923200.

The previous prime is 136348930181333. The next prime is 136348930181377. The reversal of 136348930181376 is 673181039843631.

136348930181376 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 4 + 89 + 3 + 0 + 181 + 376 = 666.

It is not an unprimeable number, because it can be changed into a prime (136348930181377) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 356002428481 + ... + 356002428863.

Almost surely, 2136348930181376 is an apocalyptic number.

136348930181376 is a gapful number since it is divisible by the number (16) 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 136348930181376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242521561497600).

136348930181376 is an abundant number, since it is smaller than the sum of its proper divisors (348694192813824).

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

136348930181376 is a wasteful number, since it uses less digits than its factorization.

136348930181376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 136348930181376 in words is "one hundred thirty-six trillion, three hundred forty-eight billion, nine hundred thirty million, one hundred eighty-one thousand, three hundred seventy-six".