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5434072644 = 223711132172389
BaseRepresentation
bin1010000111110010…
…10101111001000100
3112000201011111021210
411003321111321010
542112110311034
62255115011420
7251442566250
oct50371257104
915021144253
105434072644
112339435230
121077a39b70
13687a6cb00
143979b5260
1521c0ea8e9
hex143e55e44

5434072644 has 576 divisors, whose sum is σ = 19125227520. Its totient is φ = 1159741440.

The previous prime is 5434072643. The next prime is 5434072663. The reversal of 5434072644 is 4462704345.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434072643) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61056952 + ... + 61057040.

It is an arithmetic number, because the mean of its divisors is an integer number (33203520).

Almost surely, 25434072644 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 5434072644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9562613760).

5434072644 is an abundant number, since it is smaller than the sum of its proper divisors (13691154876).

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

5434072644 is a wasteful number, since it uses less digits than its factorization.

5434072644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The square root of 5434072644 is about 73716.1627053389. The cubic root of 5434072644 is about 1758.0928726396.

Adding to 5434072644 its reverse (4462704345), we get a palindrome (9896776989).

The spelling of 5434072644 in words is "five billion, four hundred thirty-four million, seventy-two thousand, six hundred forty-four".