Search a number
-
+
2146534144510 = 257193684743801
BaseRepresentation
bin11111001111000111011…
…001111011100111111110
321121012120122200122220111
4133033013121323213332
5240132100220111020
64322034300140234
7311040055116250
oct37170731734776
97535518618814
102146534144510
11758381623458
122a8019b3767a
13127556a70762
1475c6dc0dcd0
153ac82696d5a
hex1f3c767b9fe

2146534144510 has 64 divisors (see below), whose sum is σ = 4648366356480. Its totient is φ = 697185273600.

The previous prime is 2146534144501. The next prime is 2146534144553. The reversal of 2146534144510 is 154414356412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48984610 + ... + 49028410.

It is an arithmetic number, because the mean of its divisors is an integer number (72630724320).

Almost surely, 22146534144510 is an apocalyptic number.

2146534144510 is an abundant number, since it is smaller than the sum of its proper divisors (2501832211970).

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

2146534144510 is a wasteful number, since it uses less digits than its factorization.

2146534144510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80681.

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 2146534144510 in words is "two trillion, one hundred forty-six billion, five hundred thirty-four million, one hundred forty-four thousand, five hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1330 36847 43801 73694 87602 184235 219005 257929 306607 368470 438010 515858 613214 700093 832219 1289645 1400186 1533035 1664438 2579290 3066070 3500465 4161095 4900651 5825533 7000930 8322190 9801302 11651066 24503255 29127665 49006510 58255330 1613935447 3227870894 8069677235 11297548129 16139354470 22595096258 30664773493 56487740645 61329546986 112975481290 153323867465 214653414451 306647734930 429306828902 1073267072255 2146534144510