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36180795427 = 7971094331129
BaseRepresentation
bin100001101100100010…
…110010000000100011
310110101111112211202021
4201230202302000203
51043044240423202
624342104002311
72420410454410
oct415442620043
9113344484667
1036180795427
1114387130127
127018a60397
133547a52aba
141a7327b107
15e1b575a37
hex86c8b2023

36180795427 has 32 divisors (see below), whose sum is σ = 42293820800. Its totient is φ = 30313709568.

The previous prime is 36180795407. The next prime is 36180795437. The reversal of 36180795427 is 72459708163.

It is a 15-Lehmer number, since φ(36180795427) divides (36180795427-1)15.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36180795427 is a prime.

It is a super-2 number, since 2×361807954272 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36180795407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32046199 + ... + 32047327.

It is an arithmetic number, because the mean of its divisors is an integer number (1321681900).

It is a 2-persistent number, because it is pandigital, and so is 2⋅36180795427 = 72361590854, but 3⋅36180795427 = 108542386281 is not.

Almost surely, 236180795427 is an apocalyptic number.

36180795427 is a deficient number, since it is larger than the sum of its proper divisors (6113025373).

36180795427 is a wasteful number, since it uses less digits than its factorization.

36180795427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 36180795427 in words is "thirty-six billion, one hundred eighty million, seven hundred ninety-five thousand, four hundred twenty-seven".

Divisors: 1 7 97 109 433 679 763 1129 3031 7903 10573 42001 47197 74011 109513 123061 294007 330379 488857 766591 861427 3421999 4578109 11936917 32046763 47419129 53285413 83558419 331933903 372997891 5168685061 36180795427