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11889342853416 = 2334719364121187
BaseRepresentation
bin1010110100000011010000…
…0011101011000100101000
31120002121110202010121210000
42231000310003223010220
53024243333232302131
641141515543223000
72334655666541550
oct255006403530450
946077422117700
1011889342853416
1138742730a4846
121400298a47a60
13683211008b62
142d1639418160
151594082bcce6
hexad0340eb128

11889342853416 has 320 divisors, whose sum is σ = 38317162308480. Its totient is φ = 3373923041280.

The previous prime is 11889342853343. The next prime is 11889342853469. The reversal of 11889342853416 is 61435824398811.

It is a happy number.

11889342853416 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 9 + 3 + 4 + 285 + 341 + 6 = 666.

It is a super-2 number, since 2×118893428534162 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 561151575 + ... + 561172761.

It is an arithmetic number, because the mean of its divisors is an integer number (119741132214).

Almost surely, 211889342853416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11889342853416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19158581154240).

11889342853416 is an abundant number, since it is smaller than the sum of its proper divisors (26427819455064).

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

11889342853416 is a wasteful number, since it uses less digits than its factorization.

11889342853416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22046 (or 22033 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 11889342853416 in words is "eleven trillion, eight hundred eighty-nine billion, three hundred forty-two million, eight hundred fifty-three thousand, four hundred sixteen".