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10162412406 = 2322923981457
BaseRepresentation
bin10010111011011101…
…00001101101110110
3222020020101001001200
421131232201231312
5131303034144111
64400223433330
7506556036336
oct113556415566
928206331050
1010162412406
114345464943
121b77455846
13c5c543ca3
146c595d0c6
153e7290256
hex25dba1b76

10162412406 has 48 divisors (see below), whose sum is σ = 22873406400. Its totient is φ = 3256936704.

The previous prime is 10162412383. The next prime is 10162412411. The reversal of 10162412406 is 60421426101.

10162412406 is a `hidden beast` number, since 1 + 0 + 16 + 241 + 2 + 406 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10162412406.

It is a congruent number.

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, 84030 + ... + 165486.

It is an arithmetic number, because the mean of its divisors is an integer number (476529300).

Almost surely, 210162412406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10162412406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11436703200).

10162412406 is an abundant number, since it is smaller than the sum of its proper divisors (12710993994).

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

10162412406 is a wasteful number, since it uses less digits than its factorization.

10162412406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81733 (or 81730 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10162412406 its reverse (60421426101), we get a palindrome (70583838507).

The spelling of 10162412406 in words is "ten billion, one hundred sixty-two million, four hundred twelve thousand, four hundred six".

Divisors: 1 2 3 6 9 18 29 58 87 174 239 261 478 522 717 1434 2151 4302 6931 13862 20793 41586 62379 81457 124758 162914 244371 488742 733113 1466226 2362253 4724506 7086759 14173518 19468223 21260277 38936446 42520554 58404669 116809338 175214007 350428014 564578467 1129156934 1693735401 3387470802 5081206203 10162412406