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36156430144 = 261733232013
BaseRepresentation
bin100001101011000101…
…110101011101000000
310110022210200221212101
4201223011311131000
51043022021231034
624335433440144
72416663404532
oct415305653500
9113283627771
1036156430144
11143743a912a
127010870054
1335429a1783
141a6dd37852
15e19361514
hex86b175740

36156430144 has 28 divisors (see below), whose sum is σ = 75968384004. Its totient is φ = 17014790144.

The previous prime is 36156430129. The next prime is 36156430147. The reversal of 36156430144 is 44103465163.

It can be written as a sum of positive squares in 2 ways, for example, as 26932748544 + 9223681600 = 164112^2 + 96040^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36156430147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16614919 + ... + 16617094.

Almost surely, 236156430144 is an apocalyptic number.

36156430144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

36156430144 is an abundant number, since it is smaller than the sum of its proper divisors (39811953860).

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

36156430144 is a wasteful number, since it uses less digits than its factorization.

36156430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33232042 (or 33232032 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

It can be divided in two parts, 361 and 56430144, that multiplied together give a square (20371281984 = 1427282).

The spelling of 36156430144 in words is "thirty-six billion, one hundred fifty-six million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 33232013 66464026 132928052 265856104 531712208 564944221 1063424416 1129888442 2126848832 2259776884 4519553768 9039107536 18078215072 36156430144