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12153532343400 = 23325271019550159
BaseRepresentation
bin1011000011011011011011…
…1110100110010001101000
31121000212101120021020212100
42300312312332212101220
53043110413234442100
641503131121013400
72363030601262020
oct260666676462150
947025346236770
1012153532343400
113966314190918
121443529484260
136a20c4a21166
1430033c54aa80
1516121bb9a400
hexb0db6fa6468

12153532343400 has 288 divisors, whose sum is σ = 47108265235200. Its totient is φ = 2750445504000.

The previous prime is 12153532343339. The next prime is 12153532343411. The reversal of 12153532343400 is 434323535121.

12153532343400 is a `hidden beast` number, since 1 + 2 + 1 + 53 + 532 + 34 + 3 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3502480 + ... + 6047679.

It is an arithmetic number, because the mean of its divisors is an integer number (163570365400).

Almost surely, 212153532343400 is an apocalyptic number.

12153532343400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12153532343400 is an abundant number, since it is smaller than the sum of its proper divisors (34954732891800).

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

12153532343400 is a wasteful number, since it uses less digits than its factorization.

12153532343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9550289 (or 9550277 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 12153532343400 its reverse (434323535121), we get a palindrome (12587855878521).

The spelling of 12153532343400 in words is "twelve trillion, one hundred fifty-three billion, five hundred thirty-two million, three hundred forty-three thousand, four hundred".