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11720289420 = 223257447577
BaseRepresentation
bin10101110101001010…
…10110110010001100
31010020210210101120100
422322211112302030
5143000343230140
65214554251100
7563303550000
oct127245266214
933223711510
1011720289420
114a74885a04
122331126a90
13114a21bac8
147d280a700
15488e1d530
hex2ba956c8c

11720289420 has 360 divisors, whose sum is σ = 42430175424. Its totient is φ = 2617380864.

The previous prime is 11720289401. The next prime is 11720289487. The reversal of 11720289420 is 2498202711.

11720289420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 20312172 + ... + 20312748.

Almost surely, 211720289420 is an apocalyptic number.

11720289420 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 11720289420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21215087712).

11720289420 is an abundant number, since it is smaller than the sum of its proper divisors (30709886004).

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

11720289420 is a wasteful number, since it uses less digits than its factorization.

11720289420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11720289420 in words is "eleven billion, seven hundred twenty million, two hundred eighty-nine thousand, four hundred twenty".