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11997300946032 = 24324730743113397
BaseRepresentation
bin1010111010010101011011…
…0111000111010001110000
31120110221010112022221210200
42232211112313013101300
53033030433020233112
641303252311555200
72345530205306343
oct256452667072160
946427115287720
1011997300946032
113906032684696
1214191a798bb00
1369045747792c
142d695b35445a
1515c125ec5cdc
hexae956dc7470

11997300946032 has 240 divisors, whose sum is σ = 34484244867072. Its totient is φ = 3891921661440.

The previous prime is 11997300945977. The next prime is 11997300946061. The reversal of 11997300946032 is 23064900379911.

It is a happy number.

11997300946032 is a `hidden beast` number, since 1 + 199 + 7 + 300 + 94 + 60 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11997300946032.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 895514758 + ... + 895528154.

Almost surely, 211997300946032 is an apocalyptic number.

11997300946032 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 11997300946032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17242122433536).

11997300946032 is an abundant number, since it is smaller than the sum of its proper divisors (22486943921040).

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

11997300946032 is a wasteful number, since it uses less digits than its factorization.

11997300946032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 11997300946032 in words is "eleven trillion, nine hundred ninety-seven billion, three hundred million, nine hundred forty-six thousand, thirty-two".