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11938218400 = 255214922773
BaseRepresentation
bin10110001111001001…
…01100000110100000
31010210222212022221001
423013210230012200
5143422140442100
65252341241344
7601561116313
oct130744540640
933728768831
1011938218400
1150768a41a9
122392103254
131183412974
1481373897a
1549d119d6a
hex2c792c1a0

11938218400 has 36 divisors (see below), whose sum is σ = 29144177622. Its totient is φ = 4775287040.

The previous prime is 11938218371. The next prime is 11938218469. The reversal of 11938218400 is 481283911.

It can be written as a sum of positive squares in 3 ways, for example, as 11697720336 + 240498064 = 108156^2 + 15508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11938218400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7460587 + ... + 7462186.

Almost surely, 211938218400 is an apocalyptic number.

11938218400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11938218400 is an abundant number, since it is smaller than the sum of its proper divisors (17205959222).

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

11938218400 is a wasteful number, since it uses less digits than its factorization.

11938218400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14922793 (or 14922780 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 11938218400 in words is "eleven billion, nine hundred thirty-eight million, two hundred eighteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 14922773 29845546 59691092 74613865 119382184 149227730 238764368 298455460 373069325 477528736 596910920 746138650 1193821840 1492277300 2387643680 2984554600 5969109200 11938218400