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10159200296 = 2374322318919
BaseRepresentation
bin10010111011000100…
…10001100000101000
3222020000022211212122
421131202101200220
5131301223402141
64400030530412
7506516530520
oct113542214050
928200284778
1010159200296
114343670603
121b76366a08
13c5b98ac2b
146c5364680
153e6d5864b
hex25d891828

10159200296 has 64 divisors (see below), whose sum is σ = 22377062400. Its totient is φ = 4233394368.

The previous prime is 10159200283. The next prime is 10159200299. The reversal of 10159200296 is 69200295101.

It is not an unprimeable number, because it can be changed into a prime (10159200299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527525 + ... + 546443.

It is an arithmetic number, because the mean of its divisors is an integer number (349641600).

Almost surely, 210159200296 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 10159200296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11188531200).

10159200296 is an abundant number, since it is smaller than the sum of its proper divisors (12217862104).

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

10159200296 is a wasteful number, since it uses less digits than its factorization.

10159200296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19198 (or 19194 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

Adding to 10159200296 its reverse (69200295101), we get a palindrome (79359495397).

The spelling of 10159200296 in words is "ten billion, one hundred fifty-nine million, two hundred thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 223 301 344 446 602 892 1204 1561 1784 2408 3122 6244 9589 12488 18919 19178 37838 38356 67123 75676 76712 132433 134246 151352 264866 268492 529732 536984 813517 1059464 1627034 3254068 4218937 5694619 6508136 8437874 11389238 16875748 22778476 29532559 33751496 45556952 59065118 118130236 181414291 236260472 362828582 725657164 1269900037 1451314328 2539800074 5079600148 10159200296