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11888414340 = 223511236711689
BaseRepresentation
bin10110001001001101…
…01100111010000100
31010200112011000121020
423010212230322010
5143321413224330
65243401551140
7600414566055
oct130446547204
933615130536
1011888414340
115050777720
1223794a54b0
131175cc57ca
1480ac9272c
15498a7d210
hex2c49ace84

11888414340 has 192 divisors, whose sum is σ = 38461409280. Its totient is φ = 2715356160.

The previous prime is 11888414333. The next prime is 11888414359. The reversal of 11888414340 is 4341488811.

It is a junction number, because it is equal to n+sod(n) for n = 11888414292 and 11888414301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1011216 + ... + 1022904.

It is an arithmetic number, because the mean of its divisors is an integer number (200319840).

Almost surely, 211888414340 is an apocalyptic number.

11888414340 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 11888414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230704640).

11888414340 is an abundant number, since it is smaller than the sum of its proper divisors (26572994940).

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

11888414340 is a wasteful number, since it uses less digits than its factorization.

11888414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11802 (or 11800 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 11888414340 in words is "eleven billion, eight hundred eighty-eight million, four hundred fourteen thousand, three hundred forty".