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11508378138 = 23210154111701
BaseRepresentation
bin10101011011111001…
…11110101000011010
31002201001001011221100
422231330332220122
5142032121100023
65141544252230
7555121412565
oct125574765032
932631034840
1011508378138
1149761a7914
122292171076
13111535400a
147b26074dc
1547550ec43
hex2adf3ea1a

11508378138 has 48 divisors (see below), whose sum is σ = 25230401352. Its totient is φ = 3790800000.

The previous prime is 11508378137. The next prime is 11508378149. The reversal of 11508378138 is 83187380511.

11508378138 is a `hidden beast` number, since 1 + 1 + 508 + 3 + 7 + 8 + 138 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11508354729 + 23409 = 107277^2 + 153^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11508378093 and 11508378102.

It is not an unprimeable number, because it can be changed into a prime (11508378137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977688 + ... + 989388.

Almost surely, 211508378138 is an apocalyptic number.

11508378138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11508378138 is an abundant number, since it is smaller than the sum of its proper divisors (13722023214).

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

11508378138 is a wasteful number, since it uses less digits than its factorization.

11508378138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12351 (or 12348 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11508378138 in words is "eleven billion, five hundred eight million, three hundred seventy-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 101 202 303 541 606 909 1082 1623 1818 3246 4869 9738 11701 23402 35103 54641 70206 105309 109282 163923 210618 327846 491769 983538 1181801 2363602 3545403 6330241 7090806 10636209 12660482 18990723 21272418 37981446 56972169 113944338 639354341 1278708682 1918063023 3836126046 5754189069 11508378138