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202138618914 = 23213818131733
BaseRepresentation
bin1011110001000001100…
…1101000110000100010
3201022202101110210010100
42330100121220300202
511302434441301124
6232510004043230
720414116624401
oct2742031506042
9638671423110
10202138618914
11787a9a87251
1233213993516
13160a540c05b
149ad8141638
1553d10b91c9
hex2f10668c22

202138618914 has 24 divisors (see below), whose sum is σ = 438284199132. Its totient is φ = 67330740960.

The previous prime is 202138618873. The next prime is 202138618919. The reversal of 202138618914 is 419816831202.

202138618914 is a `hidden beast` number, since 2 + 0 + 2 + 13 + 8 + 618 + 9 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 175421081889 + 26717537025 = 418833^2 + 163455^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 202138618914.

It is not an unprimeable number, because it can be changed into a prime (202138618919) 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, 4041009 + ... + 4090724.

Almost surely, 2202138618914 is an apocalyptic number.

202138618914 is an abundant number, since it is smaller than the sum of its proper divisors (236145580218).

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

202138618914 is a wasteful number, since it uses less digits than its factorization.

202138618914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8133122 (or 8133119 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 202138618914 in words is "two hundred two billion, one hundred thirty-eight million, six hundred eighteen thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 1381 2762 4143 8286 12429 24858 8131733 16263466 24395199 48790398 73185597 146371194 11229923273 22459846546 33689769819 67379539638 101069309457 202138618914