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11141542620 = 2232513171914741
BaseRepresentation
bin10100110000001011…
…00111001011011100
31001202110210000012200
422120011213023130
5140304213330440
65041321531500
7543045356355
oct123005471334
931673700180
1011141542620
1147a812396a
1221ab343b90
131087354b90
147799d6d2c
154531ecc30
hex2981672dc

11141542620 has 288 divisors, whose sum is σ = 40567625280. Its totient is φ = 2445189120.

The previous prime is 11141542619. The next prime is 11141542661. The reversal of 11141542620 is 2624514111.

11141542620 is a `hidden beast` number, since 1 + 114 + 1 + 542 + 6 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748450 + ... + 763190.

It is an arithmetic number, because the mean of its divisors is an integer number (140859810).

Almost surely, 211141542620 is an apocalyptic number.

11141542620 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 11141542620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20283812640).

11141542620 is an abundant number, since it is smaller than the sum of its proper divisors (29426082660).

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

11141542620 is a wasteful number, since it uses less digits than its factorization.

11141542620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14805 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11141542620 in words is "eleven billion, one hundred forty-one million, five hundred forty-two thousand, six hundred twenty".