Search a number
-
+
942981644288 = 21753135743
BaseRepresentation
bin11011011100011100001…
…01100000000000000000
310100011000000022211202202
431232032011200000000
5110422211300104123
62001111053132332
7125061651503555
oct15561605400000
93304000284682
10942981644288
11333a09611372
1213290a78a0a8
136abcc497018
14338d797ca2c
15197e0b7da28
hexdb8e160000

942981644288 has 72 divisors (see below), whose sum is σ = 1921554327168. Its totient is φ = 462591361024.

The previous prime is 942981644287. The next prime is 942981644299. The reversal of 942981644288 is 882446189249.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942981644287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6878945 + ... + 7014687.

It is an arithmetic number, because the mean of its divisors is an integer number (26688254544).

Almost surely, 2942981644288 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 942981644288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960777163584).

942981644288 is an abundant number, since it is smaller than the sum of its proper divisors (978572682880).

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

942981644288 is an frugal number, since it uses more digits than its factorization.

942981644288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135830 (or 135798 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 65.

The spelling of 942981644288 in words is "nine hundred forty-two billion, nine hundred eighty-one million, six hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2048 3392 4096 6784 8192 13568 16384 27136 32768 54272 65536 108544 131072 135743 217088 271486 434176 542972 868352 1085944 1736704 2171888 3473408 4343776 6946816 7194379 8687552 14388758 17375104 28777516 34750208 57555032 69500416 115110064 139000832 230220128 278001664 460440256 556003328 920880512 1112006656 1841761024 2224013312 3683522048 4448026624 7367044096 8896053248 14734088192 17792106496 29468176384 58936352768 117872705536 235745411072 471490822144 942981644288