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361854939866112 = 21033711601128277
BaseRepresentation
bin101001001000110101110101…
…1001001101010010000000000
31202110012222211220221122022000
41102101223223021222100000
5334412112404101203422
63321333510421344000
7136135104511354410
oct12221535311522000
91673188756848260
10361854939866112
11a5330900019840
1234701ab3268000
13126baa0b500c04
14654dc30358640
152bc7a26338cac
hex1491aeb26a400

361854939866112 has 704 divisors, whose sum is σ = 1336339264481280. Its totient is φ = 93969336729600.

The previous prime is 361854939866107. The next prime is 361854939866113. The reversal of 361854939866112 is 211668939458163.

It is a happy number.

361854939866112 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 549 + 3 + 9 + 8 + 6 + 61 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (361854939866113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12796779718 + ... + 12796807994.

Almost surely, 2361854939866112 is an apocalyptic number.

361854939866112 is a gapful number since it is divisible by the number (32) 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 361854939866112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668169632240640).

361854939866112 is an abundant number, since it is smaller than the sum of its proper divisors (974484324615168).

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

361854939866112 is a wasteful number, since it uses less digits than its factorization.

361854939866112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34335 (or 34311 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 361854939866112 in words is "three hundred sixty-one trillion, eight hundred fifty-four billion, nine hundred thirty-nine million, eight hundred sixty-six thousand, one hundred twelve".