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4112625230352 = 243523349131777
BaseRepresentation
bin111011110110001011100…
…100001110001000010000
3112120011101220221012100000
4323312023210032020100
51014340124024332402
612425151451330000
7603061454446302
oct73661344161020
915504356835300
104112625230352
1113461777aa141
12565079a50900
1323aa85160582
141030a3051972
1571ea37b8c1c
hex3bd8b90e210

4112625230352 has 240 divisors, whose sum is σ = 12490656796800. Its totient is φ = 1307504664576.

The previous prime is 4112625230321. The next prime is 4112625230381. The reversal of 4112625230352 is 2530325262114.

4112625230352 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 625 + 23 + 0 + 3 + 5 + 2 = 666.

It is a super-4 number, since 4×41126252303524 (a number of 52 digits) contains 4444 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31143088 + ... + 31274864.

It is an arithmetic number, because the mean of its divisors is an integer number (52044403320).

Almost surely, 24112625230352 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 4112625230352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245328398400).

4112625230352 is an abundant number, since it is smaller than the sum of its proper divisors (8378031566448).

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

4112625230352 is a wasteful number, since it uses less digits than its factorization.

4112625230352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132172 (or 132154 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 4112625230352 in words is "four trillion, one hundred twelve billion, six hundred twenty-five million, two hundred thirty thousand, three hundred fifty-two".