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3997482149232 = 2436111321931313
BaseRepresentation
bin111010001010111100100…
…000001110010101110000
3112011011012101220122000000
4322022330200032111300
51010443320412233412
612300230135430000
7561544222426245
oct72127440162560
915134171818000
103997482149232
111301360506070
125468a4825300
1322cc65289200
14db69cba35cc
156deb4e054dc
hex3a2bc80e570

3997482149232 has 1680 divisors, whose sum is σ = 14952844385280. Its totient is φ = 1021878374400.

The previous prime is 3997482149173. The next prime is 3997482149249. The reversal of 3997482149232 is 2329412847993.

3997482149232 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 482 + 149 + 2 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3997482149232.

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 335 ways as a sum of consecutive naturals, for example, 12771508308 + ... + 12771508620.

Almost surely, 23997482149232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997482149232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7476422192640).

3997482149232 is an abundant number, since it is smaller than the sum of its proper divisors (10955362236048).

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

3997482149232 is a wasteful number, since it uses less digits than its factorization.

3997482149232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 392 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 3997482149232 in words is "three trillion, nine hundred ninety-seven billion, four hundred eighty-two million, one hundred forty-nine thousand, two hundred thirty-two".