Search a number
-
+
10490068160 = 2651113239967
BaseRepresentation
bin10011100010100000…
…11011110011000000
31000002001220200020222
421301100123303000
5132440424140120
64452530322212
7520645052045
oct116120336300
930061820228
1010490068160
1144a3408520
122049129368
13cb23a5a30
147172911cc
15415e13525
hex27141bcc0

10490068160 has 224 divisors, whose sum is σ = 30625523712. Its totient is φ = 3367710720.

The previous prime is 10490068159. The next prime is 10490068163. The reversal of 10490068160 is 6186009401.

It is a super-2 number, since 2×104900681602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10490068160.

It is not an unprimeable number, because it can be changed into a prime (10490068163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047497 + ... + 1057463.

It is an arithmetic number, because the mean of its divisors is an integer number (136721088).

Almost surely, 210490068160 is an apocalyptic number.

10490068160 is a gapful number since it is divisible by the number (10) 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 10490068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15312761856).

10490068160 is an abundant number, since it is smaller than the sum of its proper divisors (20135455552).

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

10490068160 is a wasteful number, since it uses less digits than its factorization.

10490068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 10490068160 in words is "ten billion, four hundred ninety million, sixty-eight thousand, one hundred sixty".