Search a number
-
+
10215449468 = 2273116017351
BaseRepresentation
bin10011000001110001…
…10110001101111100
3222100221011121020022
421200320312031330
5131410123340333
64405400311312
7511101613340
oct114070661574
928327147208
1010215449468
11437239a424
121b91172538
13c6a523873
146cca07620
153ebc69c98
hex260e3637c

10215449468 has 48 divisors (see below), whose sum is σ = 21106003968. Its totient is φ = 4233600000.

The previous prime is 10215449467. The next prime is 10215449477. The reversal of 10215449468 is 86494451201.

10215449468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102154494682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10215449467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1385993 + ... + 1393343.

It is an arithmetic number, because the mean of its divisors is an integer number (439708416).

Almost surely, 210215449468 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 10215449468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10553001984).

10215449468 is an abundant number, since it is smaller than the sum of its proper divisors (10890554500).

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

10215449468 is a wasteful number, since it uses less digits than its factorization.

10215449468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 10215449468 in words is "ten billion, two hundred fifteen million, four hundred forty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1601 3202 6404 7351 11207 14702 22414 29404 44828 49631 51457 99262 102914 198524 205828 227881 347417 455762 694834 911524 1389668 1595167 3190334 6380668 11768951 23537902 47075804 82382657 164765314 329530628 364837481 729674962 1459349924 2553862367 5107724734 10215449468