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3920234529312 = 25351737801503
BaseRepresentation
bin111001000011000000001…
…011111100001000100000
3111212202210212212221200000
4321003000023330020200
51003212120014414222
612200533023100000
7553141031460333
oct71030013741040
914782725787600
103920234529312
111281620211972
12533926741600
132258a444a67a
14d7a517b461a
156be933b69ac
hex390c02fc220

3920234529312 has 288 divisors, whose sum is σ = 12571981373952. Its totient is φ = 1196636073984.

The previous prime is 3920234529287. The next prime is 3920234529331. The reversal of 3920234529312 is 2139254320293.

3920234529312 is a `hidden beast` number, since 3 + 9 + 2 + 0 + 2 + 345 + 293 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4490353 + ... + 5291855.

It is an arithmetic number, because the mean of its divisors is an integer number (43652713104).

Almost surely, 23920234529312 is an apocalyptic number.

3920234529312 is a gapful number since it is divisible by the number (32) 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 3920234529312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285990686976).

3920234529312 is an abundant number, since it is smaller than the sum of its proper divisors (8651746844640).

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

3920234529312 is a wasteful number, since it uses less digits than its factorization.

3920234529312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801582 (or 801562 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3920234529312 in words is "three trillion, nine hundred twenty billion, two hundred thirty-four million, five hundred twenty-nine thousand, three hundred twelve".