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11930580396000 = 253453719299547
BaseRepresentation
bin1010110110011100111000…
…0000011010011111100000
31120020112220122211211120000
42231213032000122133200
53030432312040133000
641212455531020000
72340645622062330
oct255471600323740
946215818754500
1011930580396000
11388a804670952
12140828729a600
13687083598a26
142d362c0c90c0
1515a51d759000
hexad9ce01a7e0

11930580396000 has 1920 divisors, whose sum is σ = 54500961715200. Its totient is φ = 2494117785600.

The previous prime is 11930580395969. The next prime is 11930580396067. The reversal of 11930580396000 is 69308503911.

11930580396000 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 0 + 5 + 8 + 0 + 39 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1249663227 + ... + 1249672773.

It is an arithmetic number, because the mean of its divisors is an integer number (28385917560).

Almost surely, 211930580396000 is an apocalyptic number.

11930580396000 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 11930580396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27250480857600).

11930580396000 is an abundant number, since it is smaller than the sum of its proper divisors (42570381319200).

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

11930580396000 is a wasteful number, since it uses less digits than its factorization.

11930580396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9639 (or 9612 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

Adding to 11930580396000 its reverse (69308503911), we get a palindrome (11999888899911).

The spelling of 11930580396000 in words is "eleven trillion, nine hundred thirty billion, five hundred eighty million, three hundred ninety-six thousand".