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4104196096 = 21272112132
BaseRepresentation
bin1111010010100001…
…0001000000000000
3101121000202202121211
43310220101000000
531401133233341
61515131055504
7203464043200
oct36450210000
911530682554
104104196096
111816791300
129665a1594
135053a4100
142ad118400
151904a8181
hexf4a11000

4104196096 has 351 divisors, whose sum is σ = 11363562693. Its totient is φ = 1476034560.

The previous prime is 4104196091. The next prime is 4104196123. The reversal of 4104196096 is 6906914014.

The square root of 4104196096 is 64064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 607129600 + 3497066496 = 24640^2 + 59136^2 .

It is a super-3 number, since 3×41041960963 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4104196091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 315707386 + ... + 315707398.

Almost surely, 24104196096 is an apocalyptic number.

4104196096 is the 64064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104196096

4104196096 is an abundant number, since it is smaller than the sum of its proper divisors (7259366597).

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

4104196096 is a wasteful number, since it uses less digits than its factorization.

4104196096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The cubic root of 4104196096 is about 1601.0664889679.

Multiplying 4104196096 by its product of nonzero digits (46656), we get a square (191485373054976 = 138378242).

The spelling of 4104196096 in words is "four billion, one hundred four million, one hundred ninety-six thousand, ninety-six".