Search a number
-
+
1145188638 = 2331113114717
BaseRepresentation
bin100010001000010…
…0011000100011110
32221210212121111000
41010100203010132
54321132014023
6305345211130
740243641246
oct10420430436
92853777430
101145188638
1153847a1a0
1227b630aa6
13153343119
14ac142b26
156a810243
hex4442311e

1145188638 has 64 divisors (see below), whose sum is σ = 2797597440. Its totient is φ = 344354400.

The previous prime is 1145188637. The next prime is 1145188679. The reversal of 1145188638 is 8368815411.

1145188638 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 8 + 8 + 638 = 666.

It is a super-2 number, since 2×11451886382 = 2622914033208590088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145188593 and 1145188602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145188637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70456 + ... + 85172.

It is an arithmetic number, because the mean of its divisors is an integer number (43712460).

Almost surely, 21145188638 is an apocalyptic number.

1145188638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145188638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398798720).

1145188638 is an abundant number, since it is smaller than the sum of its proper divisors (1652408802).

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

1145188638 is a wasteful number, since it uses less digits than its factorization.

1145188638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14870 (or 14864 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 1145188638 is about 33840.6358982806. The cubic root of 1145188638 is about 1046.2264053466.

The spelling of 1145188638 in words is "one billion, one hundred forty-five million, one hundred eighty-eight thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 131 198 262 297 393 594 786 1179 1441 2358 2882 3537 4323 7074 8646 12969 14717 25938 29434 38907 44151 77814 88302 132453 161887 264906 323774 397359 485661 794718 971322 1456983 1927927 2913966 3855854 4370949 5783781 8741898 11567562 17351343 21207197 34702686 42414394 52054029 63621591 104108058 127243182 190864773 381729546 572594319 1145188638