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138906801800 = 23521353425693
BaseRepresentation
bin1000000101011101111…
…1011001011010001000
3111021112122122122201222
42001113133121122020
54233440120124200
6143451330501212
713015145222354
oct2012737313210
9437478578658
10138906801800
1153a012a5158
1222b07734808
1310139253260
146a1a380464
15392ec80d85
hex20577d9688

138906801800 has 48 divisors (see below), whose sum is σ = 347801267940. Its totient is φ = 51288664320.

The previous prime is 138906801791. The next prime is 138906801827. The reversal of 138906801800 is 8108609831.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 24179628004 + 114727173796 = 155498^2 + 338714^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26710247 + ... + 26715446.

Almost surely, 2138906801800 is an apocalyptic number.

138906801800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138906801800 is an abundant number, since it is smaller than the sum of its proper divisors (208894466140).

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

138906801800 is a wasteful number, since it uses less digits than its factorization.

138906801800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53425722 (or 53425713 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The spelling of 138906801800 in words is "one hundred thirty-eight billion, nine hundred six million, eight hundred one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 53425693 106851386 213702772 267128465 427405544 534256930 694534009 1068513860 1335642325 1389068018 2137027720 2671284650 2778136036 3472670045 5342569300 5556272072 6945340090 10685138600 13890680180 17363350225 27781360360 34726700450 69453400900 138906801800