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153930264138 = 2337258174703
BaseRepresentation
bin1000111101011011110…
…1010110111001001010
3112201022122221121201000
42033112331112321022
510010222121423023
6154414203435430
714056351441200
oct2172675267112
9481278847630
10153930264138
115a310691832
12259bab25b76
13116918c5641
147643751070
15400db7c243
hex23d6f56e4a

153930264138 has 48 divisors (see below), whose sum is σ = 397914975360. Its totient is φ = 43980074712.

The previous prime is 153930264109. The next prime is 153930264139. The reversal of 153930264138 is 831462039351.

153930264138 is a `hidden beast` number, since 153 + 9 + 302 + 64 + 138 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 153930264093 and 153930264102.

It is not an unprimeable number, because it can be changed into a prime (153930264139) 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, 29084706 + ... + 29089997.

It is an arithmetic number, because the mean of its divisors is an integer number (8289895320).

Almost surely, 2153930264138 is an apocalyptic number.

153930264138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

153930264138 is an abundant number, since it is smaller than the sum of its proper divisors (243984711222).

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

153930264138 is a wasteful number, since it uses less digits than its factorization.

153930264138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58174728 (or 58174715 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 153930264138 in words is "one hundred fifty-three billion, nine hundred thirty million, two hundred sixty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 58174703 116349406 174524109 349048218 407222921 523572327 814445842 1047144654 1221668763 1570716981 2443337526 2850560447 3141433962 3665006289 5701120894 7330012578 8551681341 10995018867 17103362682 21990037734 25655044023 51310088046 76965132069 153930264138