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4491463680 = 210325118861
BaseRepresentation
bin1000010111011011…
…00100110000000000
3102121000110222212200
410023231210300000
533144303314210
62021403353200
7216205545204
oct41355446000
912530428780
104491463680
1119a5350160
12a54222800
135676a8222
14308726b04
151b44a40c0
hex10bb64c00

4491463680 has 264 divisors, whose sum is σ = 16979521104. Its totient is φ = 1088716800.

The previous prime is 4491463619. The next prime is 4491463681. The reversal of 4491463680 is 863641944.

4491463680 is a `hidden beast` number, since 4 + 4 + 9 + 1 + 4 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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 (4491463681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502450 + ... + 511310.

Almost surely, 24491463680 is an apocalyptic number.

4491463680 is a gapful number since it is divisible by the number (40) 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 4491463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489760552).

4491463680 is an abundant number, since it is smaller than the sum of its proper divisors (12488057424).

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

4491463680 is a wasteful number, since it uses less digits than its factorization.

4491463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8903 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4491463680 is about 67018.3831497001. The cubic root of 4491463680 is about 1649.9190263293.

The spelling of 4491463680 in words is "four billion, four hundred ninety-one million, four hundred sixty-three thousand, six hundred eighty".