Search a number
-
+
10359490914 = 23213713013229
BaseRepresentation
bin10011010010111100…
…10100100101100010
3222201222012122221200
421221132110211202
5132204012202124
64431543502030
7514501135263
oct115136244542
928658178850
1010359490914
114436731943
122011457916
13c913175a6
14703bc096a
1540971dbc9
hex269794962

10359490914 has 48 divisors (see below), whose sum is σ = 22633785720. Its totient is φ = 3424262400.

The previous prime is 10359490913. The next prime is 10359490931. The reversal of 10359490914 is 41909495301.

10359490914 is a `hidden beast` number, since 103 + 59 + 490 + 9 + 1 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4777159689 + 5582331225 = 69117^2 + 74715^2 .

It is a super-3 number, since 3×103594909143 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10359490914.

It is not an unprimeable number, because it can be changed into a prime (10359490913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3206652 + ... + 3209880.

Almost surely, 210359490914 is an apocalyptic number.

10359490914 is an abundant number, since it is smaller than the sum of its proper divisors (12274294806).

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

10359490914 is a wasteful number, since it uses less digits than its factorization.

10359490914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

It can be divided in two parts, 1035 and 9490914, that added together give a palindrome (9491949).

The spelling of 10359490914 in words is "ten billion, three hundred fifty-nine million, four hundred ninety thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 1301 2466 2602 3229 3903 6458 7806 9687 11709 19374 23418 29061 58122 178237 356474 442373 534711 884746 1069422 1327119 1604133 2654238 3208266 3981357 4200929 7962714 8401858 12602787 25205574 37808361 75616722 575527273 1151054546 1726581819 3453163638 5179745457 10359490914