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42754303744 = 28295997609
BaseRepresentation
bin100111110100010110…
…101110011100000000
311002100121202122221021
4213310112232130000
51200030100204434
631350245035224
73042330404605
oct476426563400
9132317678837
1042754303744
111714a765229
1283523b5b14
1340548a02a9
1420d82d86ac
1511a36e6cb4
hex9f45ae700

42754303744 has 72 divisors (see below), whose sum is σ = 89781678000. Its totient is φ = 20289970176.

The previous prime is 42754303699. The next prime is 42754303769. The reversal of 42754303744 is 44730345724.

It is a self number, because there is not a number n which added to its sum of digits gives 42754303744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389212 + ... + 486820.

It is an arithmetic number, because the mean of its divisors is an integer number (1246967750).

Almost surely, 242754303744 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 42754303744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44890839000).

42754303744 is an abundant number, since it is smaller than the sum of its proper divisors (47027374256).

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

42754303744 is an equidigital number, since it uses as much as digits as its factorization.

42754303744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97713 (or 97699 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 43.

The spelling of 42754303744 in words is "forty-two billion, seven hundred fifty-four million, three hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 59 64 116 118 128 232 236 256 464 472 928 944 1711 1856 1888 3422 3712 3776 6844 7424 7552 13688 15104 27376 54752 97609 109504 195218 219008 390436 438016 780872 1561744 2830661 3123488 5661322 5758931 6246976 11322644 11517862 12493952 22645288 23035724 24987904 45290576 46071448 90581152 92142896 167008999 181162304 184285792 334017998 362324608 368571584 668035996 724649216 737143168 1336071992 1474286336 2672143984 5344287968 10688575936 21377151872 42754303744