Search a number
-
+
10457997312 = 21337313753
BaseRepresentation
bin10011011110101100…
…00110000000000000
3222222211120022022210
421233112012000000
5132404221403222
64445423102120
7520105340040
oct115726060000
928884508283
1010457997312
1144872a3194
12203a441940
13ca88572b9
14712d03720
154131cad0c
hex26f586000

10457997312 has 448 divisors, whose sum is σ = 34424745984. Its totient is φ = 2760376320.

The previous prime is 10457997299. The next prime is 10457997323. The reversal of 10457997312 is 21379975401.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197320678 + ... + 197320730.

Almost surely, 210457997312 is an apocalyptic number.

10457997312 is a gapful number since it is divisible by the number (12) 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 10457997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17212372992).

10457997312 is an abundant number, since it is smaller than the sum of its proper divisors (23966748672).

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

10457997312 is an equidigital number, since it uses as much as digits as its factorization.

10457997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 10457997312 in words is "ten billion, four hundred fifty-seven million, nine hundred ninety-seven thousand, three hundred twelve".