Search a number
-
+
10136420364 = 22377116310427
BaseRepresentation
bin10010111000010110…
…11000000000001100
3222011102110111200110
421130023120000030
5131224410422424
64353454400020
7506122102650
oct113413300014
928142414613
1010136420364
114331821714
121b6a800010
13c57043395
146c2314a60
153e4d58c29
hex25c2d800c

10136420364 has 96 divisors (see below), whose sum is σ = 27581976576. Its totient is φ = 2837540160.

The previous prime is 10136420347. The next prime is 10136420369. The reversal of 10136420364 is 46302463101.

It is not an unprimeable number, because it can be changed into a prime (10136420369) 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, 966919 + ... + 977345.

It is an arithmetic number, because the mean of its divisors is an integer number (287312256).

Almost surely, 210136420364 is an apocalyptic number.

10136420364 is a gapful number since it is divisible by the number (14) 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 10136420364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13790988288).

10136420364 is an abundant number, since it is smaller than the sum of its proper divisors (17445556212).

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

10136420364 is a wasteful number, since it uses less digits than its factorization.

10136420364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10675 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 10136420364 its reverse (46302463101), we get a palindrome (56438883465).

The spelling of 10136420364 in words is "ten billion, one hundred thirty-six million, four hundred twenty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 163 213 284 326 426 489 497 652 852 978 994 1141 1491 1956 1988 2282 2982 3423 4564 5964 6846 10427 11573 13692 20854 23146 31281 34719 41708 46292 62562 69438 72989 81011 125124 138876 145978 162022 218967 243033 291956 324044 437934 486066 740317 875868 972132 1480634 1699601 2220951 2961268 3399202 4441902 5098803 5182219 6798404 8883804 10197606 10364438 11897207 15546657 20395212 20728876 23794414 31093314 35691621 47588828 62186628 71383242 120671671 142766484 241343342 362015013 482686684 724030026 844701697 1448060052 1689403394 2534105091 3378806788 5068210182 10136420364