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42353300660 = 225111371499431
BaseRepresentation
bin100111011100011101…
…000001010010110100
311001022200012121010012
4213130131001102310
51143214421110120
631242402115352
73026361054446
oct473435012264
9131280177105
1042353300660
1116a64374720
12826004bb58
133cbc79a268
14209ad52496
15117d3d61c5
hex9dc7414b4

42353300660 has 96 divisors (see below), whose sum is σ = 98402169600. Its totient is φ = 15184563200.

The previous prime is 42353300651. The next prime is 42353300701. The reversal of 42353300660 is 6600335324.

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 31 ways as a sum of consecutive naturals, for example, 4486145 + ... + 4495575.

It is an arithmetic number, because the mean of its divisors is an integer number (1025022600).

Almost surely, 242353300660 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 42353300660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49201084800).

42353300660 is an abundant number, since it is smaller than the sum of its proper divisors (56048868940).

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

42353300660 is a wasteful number, since it uses less digits than its factorization.

42353300660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9737 (or 9735 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 42353300660 its reverse (6600335324), we get a palindrome (48953635984).

The spelling of 42353300660 in words is "forty-two billion, three hundred fifty-three million, three hundred thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 149 220 274 298 548 596 685 745 1370 1490 1507 1639 2740 2980 3014 3278 6028 6556 7535 8195 9431 15070 16390 18862 20413 30140 32780 37724 40826 47155 81652 94310 102065 103741 188620 204130 207482 224543 408260 414964 449086 518705 898172 1037410 1122715 1292047 1405219 2074820 2245430 2584094 2810438 4490860 5168188 5620876 6460235 7026095 12920470 14052190 14212517 15457409 25840940 28104380 28425034 30914818 56850068 61829636 71062585 77287045 142125170 154574090 192515003 284250340 309148180 385030006 770060012 962575015 1925150030 2117665033 3850300060 4235330066 8470660132 10588325165 21176650330 42353300660