Search a number
-
+
2010329478 = 2323113925919
BaseRepresentation
bin111011111010011…
…0011000110000110
312012002210022121100
41313310303012012
513104121020403
6531252200530
7100550342613
oct16764630606
95162708540
102010329478
11941862323
12481309146
13260652b91
14150dc750a
15bb7532a3
hex77d33186

2010329478 has 48 divisors (see below), whose sum is σ = 4528742400. Its totient is φ = 643803120.

The previous prime is 2010329459. The next prime is 2010329483. The reversal of 2010329478 is 8749230102.

It is a super-4 number, since 4×20103294784 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 64603 + ... + 90521.

It is an arithmetic number, because the mean of its divisors is an integer number (94348800).

Almost surely, 22010329478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010329478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

2010329478 is an abundant number, since it is smaller than the sum of its proper divisors (2518412922).

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

2010329478 is a wasteful number, since it uses less digits than its factorization.

2010329478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26097 (or 26094 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2010329478 is about 44836.6978935782. The cubic root of 2010329478 is about 1262.0863808337.

The spelling of 2010329478 in words is "two billion, ten million, three hundred twenty-nine thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 31 62 93 139 186 278 279 417 558 834 1251 2502 4309 8618 12927 25854 25919 38781 51838 77562 77757 155514 233271 466542 803489 1606978 2410467 3602741 4820934 7205482 7231401 10808223 14462802 21616446 32424669 64849338 111684971 223369942 335054913 670109826 1005164739 2010329478