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38145877218 = 2328933770657
BaseRepresentation
bin100011100001101010…
…111110010011100010
310122110110012100012100
4203201222332103202
51111110321032333
625305102311230
72520201415011
oct434152762342
9118413170170
1038145877218
11151a5398169
127486b88516
13379bbc26a7
141bbc246a78
15ed3d3c213
hex8e1abe4e2

38145877218 has 48 divisors (see below), whose sum is σ = 83827238040. Its totient is φ = 12534939648.

The previous prime is 38145877139. The next prime is 38145877219. The reversal of 38145877218 is 81277854183.

38145877218 is a `hidden beast` number, since 38 + 1 + 4 + 587 + 7 + 21 + 8 = 666.

38145877218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32293168209 + 5852709009 = 179703^2 + 76503^2 .

It is not an unprimeable number, because it can be changed into a prime (38145877219) 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, 504546 + ... + 575202.

Almost surely, 238145877218 is an apocalyptic number.

38145877218 is an abundant number, since it is smaller than the sum of its proper divisors (45681360822).

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

38145877218 is a wasteful number, since it uses less digits than its factorization.

38145877218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71091 (or 71088 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The spelling of 38145877218 in words is "thirty-eight billion, one hundred forty-five million, eight hundred seventy-seven thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 89 178 267 337 534 674 801 1011 1602 2022 3033 6066 29993 59986 70657 89979 141314 179958 211971 269937 423942 539874 635913 1271826 6288473 12576946 18865419 23811409 37730838 47622818 56596257 71434227 113192514 142868454 214302681 428605362 2119215401 4238430802 6357646203 12715292406 19072938609 38145877218