Search a number
-
+
10464463080 = 233251511631181
BaseRepresentation
bin10011011111011101…
…10000100011101000
31000000021201210200200
421233232300203220
5132412400304310
64450213432200
7520214316501
oct115756604350
930007653620
1010464463080
11448aa09aa5
12204063b660
13ca9cac2b6
14713b07ba8
15413a569c0
hex26fbb08e8

10464463080 has 192 divisors, whose sum is σ = 34473928320. Its totient is φ = 2752704000.

The previous prime is 10464463049. The next prime is 10464463091. The reversal of 10464463080 is 8036446401.

10464463080 is a `hidden beast` number, since 1 + 0 + 4 + 644 + 6 + 3 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8860090 + ... + 8861270.

It is an arithmetic number, because the mean of its divisors is an integer number (179551710).

Almost surely, 210464463080 is an apocalyptic number.

10464463080 is a gapful number since it is divisible by the number (10) 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 10464463080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236964160).

10464463080 is an abundant number, since it is smaller than the sum of its proper divisors (24009465240).

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

10464463080 is a wasteful number, since it uses less digits than its factorization.

10464463080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10464463080 in words is "ten billion, four hundred sixty-four million, four hundred sixty-three thousand, eighty".