Search a number
-
+
42352443520 = 27579837667
BaseRepresentation
bin100111011100011001…
…110000000010000000
311001022121121001100021
4213130121300002000
51143214211143040
631242331503224
73026350554502
oct473431600200
9131277531307
1042352443520
1116a63939742
12825b8b7b14
133cbc55a08a
14209ababd72
15117d2b724a
hex9dc670080

42352443520 has 64 divisors (see below), whose sum is σ = 102530563200. Its totient is φ = 16726514688.

The previous prime is 42352443509. The next prime is 42352443583. The reversal of 42352443520 is 2534425324.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×423524435202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 368274 + ... + 469393.

It is an arithmetic number, because the mean of its divisors is an integer number (1602040050).

Almost surely, 242352443520 is an apocalyptic number.

42352443520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42352443520 is an abundant number, since it is smaller than the sum of its proper divisors (60178119680).

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

42352443520 is an equidigital number, since it uses as much as digits as its factorization.

42352443520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837765 (or 837753 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 42352443520 its reverse (2534425324), we get a palindrome (44886868844).

The spelling of 42352443520 in words is "forty-two billion, three hundred fifty-two million, four hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 316 320 395 632 640 790 1264 1580 2528 3160 5056 6320 10112 12640 25280 50560 837667 1675334 3350668 4188335 6701336 8376670 13402672 16753340 26805344 33506680 53610688 66175693 67013360 107221376 132351386 134026720 264702772 268053440 330878465 529405544 536106880 661756930 1058811088 1323513860 2117622176 2647027720 4235244352 5294055440 8470488704 10588110880 21176221760 42352443520