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11383155504 = 243472792269
BaseRepresentation
bin10101001100111110…
…10010101100110000
31002101022102012210000
422212133102230300
5141303041434004
65121312310000
7552041140200
oct124637225460
932338365700
1011383155504
114911549236
122258242300
1310c541bb96
1479db2c400
15469526c39
hex2a67d2b30

11383155504 has 300 divisors, whose sum is σ = 38827351200. Its totient is φ = 3209746176.

The previous prime is 11383155503. The next prime is 11383155523. The reversal of 11383155504 is 40555138311.

It is a happy number.

11383155504 is a `hidden beast` number, since 1 + 13 + 83 + 15 + 550 + 4 = 666.

11383155504 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 not an unprimeable number, because it can be changed into a prime (11383155503) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 5015682 + ... + 5017950.

It is an arithmetic number, because the mean of its divisors is an integer number (129424504).

Almost surely, 211383155504 is an apocalyptic number.

11383155504 is a gapful number since it is divisible by the number (14) 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 11383155504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413675600).

11383155504 is an abundant number, since it is smaller than the sum of its proper divisors (27444195696).

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

11383155504 is a wasteful number, since it uses less digits than its factorization.

11383155504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 11383155504 in words is "eleven billion, three hundred eighty-three million, one hundred fifty-five thousand, five hundred four".