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11918354285880 = 233257219311147103
BaseRepresentation
bin1010110101101111010101…
…0001100000010100111000
31120012101100121021002102200
42231123311101200110320
53030232242144122010
641203114423030200
72340033633623400
oct255336521402470
946171317232380
1011918354285880
113885600313409
121405a3489b360
13685b85637643
142d2bcc44d800
1515a055222cc0
hexad6f5460538

11918354285880 has 576 divisors, whose sum is σ = 48960234086400. Its totient is φ = 2497562242560.

The previous prime is 11918354285753. The next prime is 11918354285921. The reversal of 11918354285880 is 8858245381911.

11918354285880 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 8 + 3 + 5 + 42 + 8 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9816409 + ... + 10963511.

It is an arithmetic number, because the mean of its divisors is an integer number (85000406400).

Almost surely, 211918354285880 is an apocalyptic number.

11918354285880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11918354285880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24480117043200).

11918354285880 is an abundant number, since it is smaller than the sum of its proper divisors (37041879800520).

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

11918354285880 is a wasteful number, since it uses less digits than its factorization.

11918354285880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147184 (or 1147170 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 11918354285880 in words is "eleven trillion, nine hundred eighteen billion, three hundred fifty-four million, two hundred eighty-five thousand, eight hundred eighty".