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332096085640 = 235112953607809
BaseRepresentation
bin1001101010100100111…
…10000001111010001000
31011202012100101010001201
410311102132001322020
520420113044220030
6412321323353544
732664436103134
oct4652236017210
91152170333051
10332096085640
11118928645510
12544423828b4
1325416540c67
1412105ad83c4
15898a32a2ca
hex4d52781e88

332096085640 has 256 divisors, whose sum is σ = 861643008000. Its totient is φ = 114068398080.

The previous prime is 332096085619. The next prime is 332096085641. The reversal of 332096085640 is 46580690233.

It is a happy number.

It is a super-2 number, since 2×3320960856402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332096085641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410501556 + ... + 410502364.

It is an arithmetic number, because the mean of its divisors is an integer number (3365793000).

Almost surely, 2332096085640 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 332096085640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430821504000).

332096085640 is an abundant number, since it is smaller than the sum of its proper divisors (529546922360).

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

332096085640 is a wasteful number, since it uses less digits than its factorization.

332096085640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 332096085640 in words is "three hundred thirty-two billion, ninety-six million, eighty-five thousand, six hundred forty".