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2465565480 = 23365747257
BaseRepresentation
bin1001001011110101…
…1000101100101000
320100211101201000000
42102331120230220
520022141043410
61044353343000
7115045650360
oct22275305450
96324351000
102465565480
111055824924
12589867a60
13303a63bb1
141956499a0
15e66c7dc0
hex92f58b28

2465565480 has 448 divisors, whose sum is σ = 9745712640. Its totient is φ = 549421056.

The previous prime is 2465565469. The next prime is 2465565481. The reversal of 2465565480 is 845655642.

2465565480 is a `hidden beast` number, since 2 + 4 + 6 + 5 + 565 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465565481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9593512 + ... + 9593768.

Almost surely, 22465565480 is an apocalyptic number.

2465565480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2465565480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872856320).

2465565480 is an abundant number, since it is smaller than the sum of its proper divisors (7280147160).

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

2465565480 is a wasteful number, since it uses less digits than its factorization.

2465565480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 2465565480 is about 49654.4608267978. The cubic root of 2465565480 is about 1350.9486665341.

The spelling of 2465565480 in words is "two billion, four hundred sixty-five million, five hundred sixty-five thousand, four hundred eighty".