Search a number
-
+
5481512640 = 2632517111959
BaseRepresentation
bin1010001101011100…
…10011111011000000
3112011000102200201200
411012232103323000
542211231401030
62303531501200
7252560042262
oct50656237300
915130380650
105481512640
11236319763a
12108b8b7800
1369483cc06
143a0003b32
1522136bd60
hex146b93ec0

5481512640 has 168 divisors, whose sum is σ = 19963363680. Its totient is φ = 1375739904.

The previous prime is 5481512639. The next prime is 5481512653. The reversal of 5481512640 is 462151845.

It is a happy number.

5481512640 is a `hidden beast` number, since 5 + 4 + 8 + 1 + 5 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5481512595 and 5481512604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7020 + ... + 104939.

Almost surely, 25481512640 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 5481512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9981681840).

5481512640 is an abundant number, since it is smaller than the sum of its proper divisors (14481851040).

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

5481512640 is a wasteful number, since it uses less digits than its factorization.

5481512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111999 (or 111986 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5481512640 is about 74037.2381980852. The cubic root of 5481512640 is about 1763.1941650746.

The spelling of 5481512640 in words is "five billion, four hundred eighty-one million, five hundred twelve thousand, six hundred forty".