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11932150487040 = 211345717120889
BaseRepresentation
bin1010110110100010101110…
…0101110101100000000000
31120020200222002020201120000
42231220223211311200000
53030444021011041130
641213315415320000
72341032545453250
oct255505345654000
946220862221500
1011932150487040
11389043a974553
121408645080000
1368727395c094
142d373a835960
1515a5b14eb260
hexada2b975800

11932150487040 has 960 divisors, whose sum is σ = 51753937435200. Its totient is φ = 2566895173632.

The previous prime is 11932150487029. The next prime is 11932150487041. The reversal of 11932150487040 is 4078405123911.

11932150487040 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 21 + 504 + 87 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11932150487041) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 98642916 + ... + 98763804.

It is an arithmetic number, because the mean of its divisors is an integer number (53910351495).

Almost surely, 211932150487040 is an apocalyptic number.

11932150487040 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 11932150487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25876968717600).

11932150487040 is an abundant number, since it is smaller than the sum of its proper divisors (39821786948160).

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

11932150487040 is a wasteful number, since it uses less digits than its factorization.

11932150487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120952 (or 120923 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11932150487040 in words is "eleven trillion, nine hundred thirty-two billion, one hundred fifty million, four hundred eighty-seven thousand, forty".