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42525301312 = 26132315114717
BaseRepresentation
bin100111100110101101…
…001001101001000000
311001202122212010122201
4213212231021221000
51144042434120222
631311424442544
73033550045204
oct474655115100
9131678763581
1042525301312
111704247331a
1282a9779454
1340193000b0
1420b5b26b04
15118d55e427
hex9e6b49a40

42525301312 has 112 divisors (see below), whose sum is σ = 95463067392. Its totient is φ = 18648115200.

The previous prime is 42525301277. The next prime is 42525301337. The reversal of 42525301312 is 21310352524.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2882178 + ... + 2896894.

It is an arithmetic number, because the mean of its divisors is an integer number (852348816).

Almost surely, 242525301312 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 42525301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47731533696).

42525301312 is an abundant number, since it is smaller than the sum of its proper divisors (52937766080).

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

42525301312 is a wasteful number, since it uses less digits than its factorization.

42525301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14916 (or 14906 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 42525301312 its reverse (21310352524), we get a palindrome (63835653836).

The spelling of 42525301312 in words is "forty-two billion, five hundred twenty-five million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 151 184 208 299 302 368 416 598 604 736 832 1196 1208 1472 1963 2392 2416 3473 3926 4784 4832 6946 7852 9568 9664 13892 14717 15704 19136 27784 29434 31408 45149 55568 58868 62816 90298 111136 117736 125632 180596 191321 222272 235472 338491 361192 382642 470944 676982 722384 765284 941888 1353964 1444768 1530568 2222267 2707928 2889536 3061136 4400383 4444534 5415856 6122272 8800766 8889068 10831712 12244544 17601532 17778136 21663424 28889471 35203064 35556272 51112141 57778942 70406128 71112544 102224282 115557884 140812256 142225088 204448564 231115768 281624512 408897128 462231536 664457833 817794256 924463072 1328915666 1635588512 1848926144 2657831332 3271177024 5315662664 10631325328 21262650656 42525301312