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11430597892 = 22722915712809
BaseRepresentation
bin10101010010101000…
…10001010100000100
31002111121200112111111
422221110101110010
5141402213113032
65130125214404
7553155323200
oct125124212404
932447615444
1011430597892
11493630241a
122270101404
1311021c00bc
147a615bb00
1546d798c47
hex2a9511504

11430597892 has 72 divisors (see below), whose sum is σ = 24227040600. Its totient is φ = 4699408896.

The previous prime is 11430597881. The next prime is 11430597907. The reversal of 11430597892 is 29879503411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 467251456 + 10963346436 = 21616^2 + 104706^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885984 + ... + 898792.

It is an arithmetic number, because the mean of its divisors is an integer number (336486675).

Almost surely, 211430597892 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 11430597892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113520300).

11430597892 is an abundant number, since it is smaller than the sum of its proper divisors (12796442708).

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

11430597892 is a wasteful number, since it uses less digits than its factorization.

11430597892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13013 (or 13004 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 11430597892 in words is "eleven billion, four hundred thirty million, five hundred ninety-seven thousand, eight hundred ninety-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 157 196 203 314 406 628 812 1099 1421 2198 2842 4396 4553 5684 7693 9106 12809 15386 18212 25618 30772 31871 51236 63742 89663 127484 179326 223097 358652 371461 446194 627641 742922 892388 1255282 1485844 2011013 2510564 2600227 4022026 5200454 8044052 10400908 14077091 18201589 28154182 36403178 56308364 58319377 72806356 98539637 116638754 197079274 233277508 394158548 408235639 816471278 1632942556 2857649473 5715298946 11430597892