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138345245800 = 23521086163689
BaseRepresentation
bin1000000011011000000…
…1001110110001101000
3111020002111222122201121
42000312001032301220
54231312340331200
6143315510425024
712665216121016
oct2006601166150
9436074878647
10138345245800
1153743314893
122298b662174
1310079ac7bb8
1469a59638b6
1538ea808e1a
hex203604ec68

138345245800 has 48 divisors (see below), whose sum is σ = 321687362700. Its totient is φ = 55332134400.

The previous prime is 138345245791. The next prime is 138345245827. The reversal of 138345245800 is 8542543831.

It can be written as a sum of positive squares in 6 ways, for example, as 45306825316 + 93038420484 = 212854^2 + 305022^2 .

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, 2140356 + ... + 2204044.

Almost surely, 2138345245800 is an apocalyptic number.

138345245800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138345245800 is an abundant number, since it is smaller than the sum of its proper divisors (183342116900).

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

138345245800 is a wasteful number, since it uses less digits than its factorization.

138345245800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74566 (or 74557 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 138345245800 in words is "one hundred thirty-eight billion, three hundred forty-five million, two hundred forty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10861 21722 43444 54305 63689 86888 108610 127378 217220 254756 271525 318445 434440 509512 543050 636890 1086100 1273780 1592225 2172200 2547560 3184450 6368900 12737800 691726229 1383452458 2766904916 3458631145 5533809832 6917262290 13834524580 17293155725 27669049160 34586311450 69172622900 138345245800