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42723896740 = 22572421103553
BaseRepresentation
bin100111110010100010…
…101110110110100100
311002021111112211100221
4213302202232312210
51144444304143430
631343241214124
73041511062500
oct476242566644
9132244484327
1042723896740
1117134586a78
128344191344
13404b4b4c95
1420d4261300
1511a0bdc57a
hex9f28aeda4

42723896740 has 72 divisors (see below), whose sum is σ = 104617292472. Its totient is φ = 14613258240.

The previous prime is 42723896731. The next prime is 42723896741. The reversal of 42723896740 is 4769832724.

It can be written as a sum of positive squares in 4 ways, for example, as 6769669284 + 35954227456 = 82278^2 + 189616^2 .

It is not an unprimeable number, because it can be changed into a prime (42723896741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360804 + ... + 464356.

It is an arithmetic number, because the mean of its divisors is an integer number (1453017951).

Almost surely, 242723896740 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 42723896740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52308646236).

42723896740 is an abundant number, since it is smaller than the sum of its proper divisors (61893395732).

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

42723896740 is a wasteful number, since it uses less digits than its factorization.

42723896740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103997 (or 103988 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 42723896740 in words is "forty-two billion, seven hundred twenty-three million, eight hundred ninety-six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 421 490 842 980 1684 2105 2947 4210 5894 8420 11788 14735 20629 29470 41258 58940 82516 103145 103553 206290 207106 412580 414212 517765 724871 1035530 1449742 2071060 2899484 3624355 5074097 7248710 10148194 14497420 20296388 25370485 43595813 50740970 87191626 101481940 174383252 217979065 305170691 435958130 610341382 871916260 1220682764 1525853455 2136194837 3051706910 4272389674 6103413820 8544779348 10680974185 21361948370 42723896740