Search a number
-
+
39996222048 = 2532173231229
BaseRepresentation
bin100101001111111101…
…011110101001100000
310211020101221121010100
4211033331132221200
51123403013101143
630212441502400
72614100164236
oct451775365140
9124211847110
1039996222048
1115a64908672
1279027a1a00
133a0535baa3
141d15ca6956
1510914dc6d3
hex94ff5ea60

39996222048 has 288 divisors, whose sum is σ = 126203313600. Its totient is φ = 11992510464.

The previous prime is 39996222043. The next prime is 39996222067. The reversal of 39996222048 is 84022269993.

39996222048 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 622 + 2 + 0 + 4 + 8 = 666.

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

It is a super-2 number, since 2×399962220482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39996221985 and 39996222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39996222043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32543098 + ... + 32544326.

It is an arithmetic number, because the mean of its divisors is an integer number (438205950).

Almost surely, 239996222048 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 39996222048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63101656800).

39996222048 is an abundant number, since it is smaller than the sum of its proper divisors (86207091552).

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

39996222048 is a wasteful number, since it uses less digits than its factorization.

39996222048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 39996222048 in words is "thirty-nine billion, nine hundred ninety-six million, two hundred twenty-two thousand, forty-eight".