Search a number
-
+
4234778496 = 2736133491
BaseRepresentation
bin1111110001101001…
…1001011110000000
3101221010111001000000
43330122121132000
532133100402441
61540114000000
7206641010664
oct37432313600
911833431000
104234778496
111883470843
129a2276000
135264649c0
142c25ca8a4
1519bb9e2b6
hexfc699780

4234778496 has 224 divisors, whose sum is σ = 13625818920. Its totient is φ = 1302635520.

The previous prime is 4234778491. The next prime is 4234778497. The reversal of 4234778496 is 6948774324.

4234778496 is a `hidden beast` number, since 4 + 2 + 3 + 477 + 84 + 96 = 666.

4234778496 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234778491) 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, 1211311 + ... + 1214801.

Almost surely, 24234778496 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 4234778496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812909460).

4234778496 is an abundant number, since it is smaller than the sum of its proper divisors (9391040424).

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

4234778496 is an equidigital number, since it uses as much as digits as its factorization.

4234778496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3509 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 4234778496 is about 65075.1757277689. The cubic root of 4234778496 is about 1617.8697927197.

The spelling of 4234778496 in words is "four billion, two hundred thirty-four million, seven hundred seventy-eight thousand, four hundred ninety-six".