Search a number
-
+
36161000127 = 3371933729881
BaseRepresentation
bin100001101011010111…
…010001001010111111
310110100010022010201000
4201223113101022333
51043024204001002
624340115421343
72420050300230
oct415327211277
9113303263630
1036161000127
1114376a3a67a
1270122b4853
1335439118c5
141a707a7087
15e1996561c
hex86b5d12bf

36161000127 has 64 divisors (see below), whose sum is σ = 64640742400. Its totient is φ = 19517137920.

The previous prime is 36161000087. The next prime is 36161000143. The reversal of 36161000127 is 72100016163.

36161000127 is a `hidden beast` number, since 36 + 1 + 610 + 0 + 0 + 12 + 7 = 666.

It is not a de Polignac number, because 36161000127 - 28 = 36160999871 is a prime.

It is a super-2 number, since 2×361610001272 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36161000127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36161000147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1195227 + ... + 1225107.

It is an arithmetic number, because the mean of its divisors is an integer number (1010011600).

Almost surely, 236161000127 is an apocalyptic number.

36161000127 is a deficient number, since it is larger than the sum of its proper divisors (28479742273).

36161000127 is a wasteful number, since it uses less digits than its factorization.

36161000127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30253 (or 30247 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 36161000127 in words is "thirty-six billion, one hundred sixty-one million, one hundred twenty-seven", and thus it is an aban number.

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 337 399 513 1011 1197 2359 3033 3591 6403 7077 9099 19209 21231 29881 44821 57627 63693 89643 134463 172881 209167 268929 403389 567739 627501 806787 1210167 1703217 1882503 3974173 5109651 5647509 10069897 11922519 15328953 30209691 35767557 70489279 90629073 107302671 191328043 211467837 271887219 573984129 634403511 1339296301 1721952387 1903210533 4017888903 5165857161 12053666709 36161000127