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11132155012032 = 2632291667339971
BaseRepresentation
bin1010000111111110100000…
…1001010010001111000000
31110102020001000121212200200
42201333220021102033000
52424342123140341112
635402012540045200
72226162115225515
oct241775011221700
943366030555620
1011132155012032
11360213632051a
1212b95a0233800
136299b0908222
142a6b28d2b30c
1514488d7eecdc
hexa1fe82523c0

11132155012032 has 168 divisors, whose sum is σ = 33011404629840. Its totient is φ = 3582458019840.

The previous prime is 11132155012021. The next prime is 11132155012067. The reversal of 11132155012032 is 23021055123111.

11132155012032 is a `hidden beast` number, since 1 + 1 + 132 + 1 + 5 + 501 + 20 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11132155011987 and 11132155012005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278485807 + ... + 278525777.

It is an arithmetic number, because the mean of its divisors is an integer number (196496456130).

Almost surely, 211132155012032 is an apocalyptic number.

11132155012032 is a gapful number since it is divisible by the number (12) 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 11132155012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505702314920).

11132155012032 is an abundant number, since it is smaller than the sum of its proper divisors (21879249617808).

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

11132155012032 is a wasteful number, since it uses less digits than its factorization.

11132155012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56691 (or 56678 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 11132155012032 in words is "eleven trillion, one hundred thirty-two billion, one hundred fifty-five million, twelve thousand, thirty-two".