Search a number
-
+
10465910000 = 245472133153
BaseRepresentation
bin10011011111101000…
…10001110011110000
31000000101110022111022
421233310101303300
5132413233110000
64450304435012
7520232524100
oct115764216360
930011408438
1010465910000
1144908080a7
122041018a68
13caa397a70
14713da3200
15413c40585
hex26fd11cf0

10465910000 has 600 divisors, whose sum is σ = 33385613184. Its totient is φ = 3144960000.

The previous prime is 10465909991. The next prime is 10465910003. The reversal of 10465910000 is 1956401.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10465910003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 197469974 + ... + 197470026.

Almost surely, 210465910000 is an apocalyptic number.

10465910000 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 10465910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692806592).

10465910000 is an abundant number, since it is smaller than the sum of its proper divisors (22919703184).

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

10465910000 is a wasteful number, since it uses less digits than its factorization.

10465910000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 10465910000 in words is "ten billion, four hundred sixty-five million, nine hundred ten thousand".