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42360225856 = 2613219792
BaseRepresentation
bin100111011100110111…
…011100000001000000
311001100011020102200221
4213130313130001000
51143223204211411
631243210352424
73026503656514
oct473467340100
9131304212627
1042360225856
1116a68274723
12826242b714
133cc1053400
14209bc36144
15117dd03071
hex9dcddc040

42360225856 has 63 divisors (see below), whose sum is σ = 91068022461. Its totient is φ = 19540994304.

The previous prime is 42360225841. The next prime is 42360225899. The reversal of 42360225856 is 65852206324.

The square root of 42360225856 is 205816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6266305600 + 36093920256 = 79160^2 + 189984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21403875 + ... + 21405853.

Almost surely, 242360225856 is an apocalyptic number.

42360225856 is the 205816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42360225856

42360225856 is an abundant number, since it is smaller than the sum of its proper divisors (48707796605).

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

42360225856 is an frugal number, since it uses more digits than its factorization.

42360225856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 42360225856 in words is "forty-two billion, three hundred sixty million, two hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 1979 2704 3958 5408 7916 10816 15832 25727 31664 51454 63328 102908 126656 205816 334451 411632 668902 823264 1337804 1646528 2675608 3916441 5351216 7832882 10702432 15665764 21404864 31331528 50913733 62663056 101827466 125326112 203654932 250652224 407309864 661878529 814619728 1323757058 1629239456 2647514116 3258478912 5295028232 10590056464 21180112928 42360225856