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42132351576 = 23372233133593
BaseRepresentation
bin100111001111010010…
…001010101001011000
311000202021110012221210
4213033102022221120
51142241340222301
631204430303120
73021036036150
oct471722125130
9130667405853
1042132351576
1116960683377
1281ba057aa0
133c85a89863
142079879760
151168cdead6
hex9cf48aa58

42132351576 has 128 divisors (see below), whose sum is σ = 121338040320. Its totient is φ = 11942221824.

The previous prime is 42132351559. The next prime is 42132351587. The reversal of 42132351576 is 67515323124.

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, 11724436 + ... + 11728028.

It is an arithmetic number, because the mean of its divisors is an integer number (947953440).

Almost surely, 242132351576 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 42132351576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60669020160).

42132351576 is an abundant number, since it is smaller than the sum of its proper divisors (79205688744).

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

42132351576 is a wasteful number, since it uses less digits than its factorization.

42132351576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4141 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The spelling of 42132351576 in words is "forty-two billion, one hundred thirty-two million, three hundred fifty-one thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 313 446 626 669 892 939 1252 1338 1561 1784 1878 2191 2504 2676 3122 3593 3756 4382 4683 5352 6244 6573 7186 7512 8764 9366 10779 12488 13146 14372 17528 18732 21558 25151 26292 28744 37464 43116 50302 52584 69799 75453 86232 100604 139598 150906 201208 209397 279196 301812 418794 488593 558392 603624 801239 837588 977186 1124609 1465779 1602478 1675176 1954372 2249218 2403717 2931558 3204956 3373827 3908744 4498436 4807434 5608673 5863116 6409912 6747654 7872263 8996872 9614868 11217346 11726232 13495308 15744526 16826019 19229736 22434692 23616789 26990616 31489052 33652038 44869384 47233578 62978104 67304076 94467156 134608152 188934312 250787807 501575614 752363421 1003151228 1504726842 1755514649 2006302456 3009453684 3511029298 5266543947 6018907368 7022058596 10533087894 14044117192 21066175788 42132351576