Search a number
-
+
2669144352 = 253723916619
BaseRepresentation
bin1001111100010111…
…1110100100100000
320220000110120201020
42133011332210200
520431300104402
61120505005440
7123100231650
oct23705764440
96800416636
102669144352
11114a731726
12625a83880
13336ca2174
141b46c0360
151094dc8bc
hex9f17e920

2669144352 has 96 divisors (see below), whose sum is σ = 8041420800. Its totient is φ = 759376128.

The previous prime is 2669144351. The next prime is 2669144363. The reversal of 2669144352 is 2534419662.

2669144352 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2669144351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152299 + ... + 168917.

It is an arithmetic number, because the mean of its divisors is an integer number (83764800).

Almost surely, 22669144352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2669144352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020710400).

2669144352 is an abundant number, since it is smaller than the sum of its proper divisors (5372276448).

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

2669144352 is a wasteful number, since it uses less digits than its factorization.

2669144352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16878 (or 16870 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 2669144352 is about 51663.7624646134. The cubic root of 2669144352 is about 1387.1518985195.

The spelling of 2669144352 in words is "two billion, six hundred sixty-nine million, one hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 239 336 478 672 717 956 1434 1673 1912 2868 3346 3824 5019 5736 6692 7648 10038 11472 13384 16619 20076 22944 26768 33238 40152 49857 53536 66476 80304 99714 116333 132952 160608 199428 232666 265904 348999 398856 465332 531808 697998 797712 930664 1395996 1595424 1861328 2791992 3722656 3971941 5583984 7943882 11167968 11915823 15887764 23831646 27803587 31775528 47663292 55607174 63551056 83410761 95326584 111214348 127102112 166821522 190653168 222428696 333643044 381306336 444857392 667286088 889714784 1334572176 2669144352