Search a number
-
+
5634004480 = 295133143127
BaseRepresentation
bin1010011111101000…
…00001011000000000
3112112122101002012121
411033310001120000
543014301120410
62331020134024
7256421151016
oct51764013000
915478332177
105634004480
112431280a55
121112997314
136ba302080
143b637a8b6
1522e93e9da
hex14fd01600

5634004480 has 320 divisors, whose sum is σ = 15487008768. Its totient is φ = 1950842880.

The previous prime is 5634004477. The next prime is 5634004489. The reversal of 5634004480 is 844004365.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5634004489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44362177 + ... + 44362303.

Almost surely, 25634004480 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 5634004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743504384).

5634004480 is an abundant number, since it is smaller than the sum of its proper divisors (9853004288).

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

5634004480 is a wasteful number, since it uses less digits than its factorization.

5634004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 5634004480 is about 75060.0058619769. The cubic root of 5634004480 is about 1779.3951233477.

The spelling of 5634004480 in words is "five billion, six hundred thirty-four million, four thousand, four hundred eighty".