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274913319472 = 24114093381629
BaseRepresentation
bin1000000000000100001…
…11000101101000110000
3222021121011220121121021
410000002013011220300
514001010302210342
6330143214305224
725601415442141
oct4000207055060
9867534817537
10274913319472
11a6654446980
1245343ab8214
131cc0266634c
14d43d473ac8
1572400b8567
hex40021c5a30

274913319472 has 40 divisors (see below), whose sum is σ = 581210277840. Its totient is φ = 124929742080.

The previous prime is 274913319451. The next prime is 274913319479.

It is a happy number.

274913319472 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2749133194722 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (274913319479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 529554 + ... + 911182.

It is an arithmetic number, because the mean of its divisors is an integer number (14530256946).

Almost surely, 2274913319472 is an apocalyptic number.

274913319472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

274913319472 is an abundant number, since it is smaller than the sum of its proper divisors (306296958368).

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

274913319472 is a wasteful number, since it uses less digits than its factorization.

274913319472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385741 (or 385735 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 52.

The spelling of 274913319472 in words is "two hundred seventy-four billion, nine hundred thirteen million, three hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 4093 8186 16372 32744 45023 65488 90046 180092 360184 381629 720368 763258 1526516 3053032 4197919 6106064 8395838 16791676 33583352 67166704 1562007497 3124014994 6248029988 12496059976 17182082467 24992119952 34364164934 68728329868 137456659736 274913319472