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5663085480 = 23325132415021
BaseRepresentation
bin1010100011000101…
…11101001110101000
3112121200002112211200
411101202331032220
543044222213410
62333535324200
7260223301203
oct52142751650
915550075750
105663085480
112446733a38
121120680660
136c3344970
143ba18a93a
152322863c0
hex1518bd3a8

5663085480 has 192 divisors, whose sum is σ = 19907007120. Its totient is φ = 1387929600.

The previous prime is 5663085479. The next prime is 5663085481. The reversal of 5663085480 is 845803665.

5663085480 is a `hidden beast` number, since 5 + 6 + 630 + 8 + 5 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5663085479) and next prime (5663085481).

It can be written as a sum of positive squares in 8 ways, for example, as 3408924996 + 2254160484 = 58386^2 + 47478^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5663085481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125370 + ... + 1130390.

Almost surely, 25663085480 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 5663085480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9953503560).

5663085480 is an abundant number, since it is smaller than the sum of its proper divisors (14243921640).

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

5663085480 is a wasteful number, since it uses less digits than its factorization.

5663085480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5663085480 is about 75253.4748699354. The cubic root of 5663085480 is about 1782.4514344121.

The spelling of 5663085480 in words is "five billion, six hundred sixty-three million, eighty-five thousand, four hundred eighty".