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138875355522 = 23419376911971
BaseRepresentation
bin1000000101010110011…
…1011100000110000010
3111021110110111000120000
42001111213130012002
54233404042334042
6143444244500430
713014314021301
oct2012547340602
9437413430500
10138875355522
11539955770a2
1222ab90aa716
1310132892ba7
146a16116438
15392c11d74c
hex20559dc182

138875355522 has 80 divisors (see below), whose sum is σ = 327676034400. Its totient is φ = 43840077120.

The previous prime is 138875355497. The next prime is 138875355523. The reversal of 138875355522 is 225553578831.

138875355522 is a `hidden beast` number, since 1 + 3 + 8 + 87 + 5 + 3 + 5 + 552 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (138875355523) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11594997 + ... + 11606967.

It is an arithmetic number, because the mean of its divisors is an integer number (4095950430).

Almost surely, 2138875355522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138875355522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163838017200).

138875355522 is an abundant number, since it is smaller than the sum of its proper divisors (188800678878).

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

138875355522 is a wasteful number, since it uses less digits than its factorization.

138875355522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15773 (or 15764 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The spelling of 138875355522 in words is "one hundred thirty-eight billion, eight hundred seventy-five million, three hundred fifty-five thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 3769 7538 11307 11971 22614 23942 33921 35913 67842 71611 71826 101763 107739 143222 203526 214833 215478 227449 305289 323217 429666 454898 610578 644499 646434 682347 969651 1288998 1364694 1933497 1939302 2047041 3866994 4094082 5800491 6141123 11600982 12282246 18423369 36846738 45118699 90237398 135356097 270712194 406068291 812136582 857255281 1218204873 1714510562 2436409746 2571765843 3654614619 5143531686 7309229238 7715297529 15430595058 23145892587 46291785174 69437677761 138875355522