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39424000000 = 21556711
BaseRepresentation
bin100100101101110110…
…101000000000000000
310202202112012201001011
4210231312220000000
51121220021000000
630040001050304
72563651320340
oct445566500000
9122675181034
1039424000000
11157a0902790
127783026994
13394393a968
141c9dcb0d20
15105b15a2ba
hex92dda8000

39424000000 has 448 divisors, whose sum is σ = 122876552160. Its totient is φ = 12288000000.

The previous prime is 39423999997. The next prime is 39424000003. The reversal of 39424000000 is 42493.

It is an interprime number because it is at equal distance from previous prime (39423999997) and next prime (39424000003).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39424000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3583999995 + ... + 3584000005.

Almost surely, 239424000000 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 39424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61438276080).

39424000000 is an abundant number, since it is smaller than the sum of its proper divisors (83452552160).

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

39424000000 is an frugal number, since it uses more digits than its factorization.

39424000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 39424000000 its reverse (42493), we get a palindrome (39424042493).

The spelling of 39424000000 in words is "thirty-nine billion, four hundred twenty-four million", and thus it is an aban number.