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11386312020 = 22335171997673
BaseRepresentation
bin10101001101010110…
…10101010101010100
31002101112100120201000
422212223111111110
5141304343441040
65121504103300
7552110024646
oct124653252524
932345316630
1011386312020
114913304826
122259304b30
1310c5c85845
147a0310896
1546994c130
hex2a6ad5554

11386312020 has 384 divisors, whose sum is σ = 39948249600. Its totient is φ = 2675441664.

The previous prime is 11386312013. The next prime is 11386312061. The reversal of 11386312020 is 2021368311.

It is a happy number.

11386312020 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 631 + 2 + 0 + 20 = 666.

11386312020 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 (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 16918404 + ... + 16919076.

It is an arithmetic number, because the mean of its divisors is an integer number (104031900).

Almost surely, 211386312020 is an apocalyptic number.

11386312020 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 11386312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19974124800).

11386312020 is an abundant number, since it is smaller than the sum of its proper divisors (28561937580).

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

11386312020 is a wasteful number, since it uses less digits than its factorization.

11386312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11386312020 in words is "eleven billion, three hundred eighty-six million, three hundred twelve thousand, twenty".