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1138117695 = 3511131733067
BaseRepresentation
bin100001111010110…
…0100110000111111
32221022120100222020
41003311210300333
54312324231240
6304533451223
740126561251
oct10365446077
92838510866
101138117695
1153448a740
122791a0b13
13151a38830
14ab221cd1
1569db50d0
hex43d64c3f

1138117695 has 64 divisors (see below), whose sum is σ = 2152410624. Its totient is φ = 506257920.

The previous prime is 1138117691. The next prime is 1138117697. The reversal of 1138117695 is 5967118311.

It is a Cunningham number, because it is equal to 337362-1.

It is not a de Polignac number, because 1138117695 - 22 = 1138117691 is a prime.

It is a super-2 number, since 2×11381176952 = 2590623775344226050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138117691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369552 + ... + 372618.

It is an arithmetic number, because the mean of its divisors is an integer number (33631416).

Almost surely, 21138117695 is an apocalyptic number.

1138117695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1138117695 is a deficient number, since it is larger than the sum of its proper divisors (1014292929).

1138117695 is a wasteful number, since it uses less digits than its factorization.

1138117695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272.

The product of its digits is 45360, while the sum is 42.

The square root of 1138117695 is about 33735.9999851790. Note that the first 4 decimals coincide. The cubic root of 1138117695 is about 1044.0686573144.

The spelling of 1138117695 in words is "one billion, one hundred thirty-eight million, one hundred seventeen thousand, six hundred ninety-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 173 195 429 519 715 865 1903 2145 2249 2595 3067 5709 6747 9201 9515 11245 15335 24739 28545 33735 33737 39871 46005 74217 101211 119613 123695 168685 199355 371085 438581 506055 530591 598065 1315743 1591773 2192905 2652955 5836501 6578715 6897683 7958865 17509503 20693049 29182505 34488415 75874513 87547515 103465245 227623539 379372565 1138117695