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138237511428 = 223217401220673
BaseRepresentation
bin1000000010111110011…
…0010000011100000100
3111012211000021011221200
42000233212100130010
54231102300331203
6143301101342500
712662440313442
oct2005746203404
9435730234850
10138237511428
1153698520415
122295b567a30
13100606a6b53
14699551bb92
1538e11279a3
hex202f990704

138237511428 has 36 divisors (see below), whose sum is σ = 349455374268. Its totient is φ = 46076313600.

The previous prime is 138237511427. The next prime is 138237511439. The reversal of 138237511428 is 824115732831.

138237511428 is a `hidden beast` number, since 1 + 3 + 82 + 37 + 511 + 4 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44737326144 + 93500185284 = 211512^2 + 305778^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (138237511427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516100 + ... + 736772.

Almost surely, 2138237511428 is an apocalyptic number.

138237511428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138237511428 is an abundant number, since it is smaller than the sum of its proper divisors (211217862840).

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

138237511428 is a wasteful number, since it uses less digits than its factorization.

138237511428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238084 (or 238079 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 138237511428 in words is "one hundred thirty-eight billion, two hundred thirty-seven million, five hundred eleven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 17401 34802 52203 69604 104406 156609 208812 220673 313218 441346 626436 662019 882692 1324038 1986057 2648076 3972114 7944228 3839930873 7679861746 11519792619 15359723492 23039585238 34559377857 46079170476 69118755714 138237511428