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361861868160 = 27325134832557
BaseRepresentation
bin1010100010000001010…
…01011110101010000000
31021121000202221112110100
411101000221132222000
521412043114240120
6434123111402400
735100163062162
oct5210051365200
91247022845410
10361861868160
1112a512655481
125a16a983400
132817b22b220
141372adb4932
15962d5db490
hex5440a5ea80

361861868160 has 192 divisors, whose sum is σ = 1345674100680. Its totient is φ = 89073672192.

The previous prime is 361861868119. The next prime is 361861868161. The reversal of 361861868160 is 61868168163.

361861868160 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 618 + 6 + 8 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 225381865536 + 136480002624 = 474744^2 + 369432^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 361861868097 and 361861868106.

It is not an unprimeable number, because it can be changed into a prime (361861868161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2341399 + ... + 2491158.

Almost surely, 2361861868160 is an apocalyptic number.

361861868160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361861868160 is an abundant number, since it is smaller than the sum of its proper divisors (983812232520).

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

361861868160 is a wasteful number, since it uses less digits than its factorization.

361861868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832595 (or 4832580 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 361861868160 in words is "three hundred sixty-one billion, eight hundred sixty-one million, eight hundred sixty-eight thousand, one hundred sixty".