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42641162432 = 2611234164231
BaseRepresentation
bin100111101101100111…
…001000000011000000
311002001201212111020022
4213231213020003000
51144312114144212
631331124033012
73036454620551
oct475547100300
9132051774208
1042641162432
11170a1908510
128320532768
13403730817b
1420c7286328
1511987e8772
hex9ed9c80c0

42641162432 has 112 divisors (see below), whose sum is σ = 98672684544. Its totient is φ = 18087168000.

The previous prime is 42641162423. The next prime is 42641162437. The reversal of 42641162432 is 23426114624.

It is a junction number, because it is equal to n+sod(n) for n = 42641162392 and 42641162401.

It is not an unprimeable number, because it can be changed into a prime (42641162437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631757 + ... + 695987.

It is an arithmetic number, because the mean of its divisors is an integer number (881006112).

Almost surely, 242641162432 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 42641162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49336342272).

42641162432 is an abundant number, since it is smaller than the sum of its proper divisors (56031522112).

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

42641162432 is a wasteful number, since it uses less digits than its factorization.

42641162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64318 (or 64308 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The spelling of 42641162432 in words is "forty-two billion, six hundred forty-one million, one hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 41 44 46 64 82 88 92 164 176 184 253 328 352 368 451 506 656 704 736 902 943 1012 1312 1472 1804 1886 2024 2624 3608 3772 4048 7216 7544 8096 10373 14432 15088 16192 20746 28864 30176 41492 60352 64231 82984 128462 165968 256924 331936 513848 663872 706541 1027696 1413082 1477313 2055392 2633471 2826164 2954626 4110784 5266942 5652328 5909252 10533884 11304656 11818504 16250443 21067768 22609312 23637008 28968181 32500886 42135536 45218624 47274016 57936362 60569833 65001772 84271072 94548032 115872724 121139666 130003544 168542144 231745448 242279332 260007088 463490896 484558664 520014176 666268163 926981792 969117328 1040028352 1332536326 1853963584 1938234656 2665072652 3876469312 5330145304 10660290608 21320581216 42641162432