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42250697568 = 25323115433067
BaseRepresentation
bin100111010110010101…
…100111101101100000
311001001112010211010200
4213112111213231200
51143012134310233
631224255025200
73024004001202
oct472625475540
9131045124120
1042250697568
1116a11465482
12823180b200
133ca4454981
14208b484772
1511743ba313
hex9d6567b60

42250697568 has 144 divisors (see below), whose sum is σ = 124147086336. Its totient is φ = 13615983360.

The previous prime is 42250697561. The next prime is 42250697641. The reversal of 42250697568 is 86579605224.

42250697568 is a `hidden beast` number, since 4 + 2 + 2 + 506 + 9 + 75 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×422506975683 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42250697561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13774371 + ... + 13777437.

It is an arithmetic number, because the mean of its divisors is an integer number (862132544).

Almost surely, 242250697568 is an apocalyptic number.

42250697568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42250697568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62073543168).

42250697568 is an abundant number, since it is smaller than the sum of its proper divisors (81896388768).

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

42250697568 is a wasteful number, since it uses less digits than its factorization.

42250697568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 42250697568 in words is "forty-two billion, two hundred fifty million, six hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 1543 2232 2976 3067 3086 4464 4629 6134 6172 8928 9201 9258 12268 12344 13887 18402 18516 24536 24688 27603 27774 36804 37032 47833 49072 49376 55206 55548 73608 74064 95077 95666 98144 110412 111096 143499 147216 148128 190154 191332 220824 222192 285231 286998 294432 380308 382664 430497 441648 444384 570462 573996 760616 765328 855693 860994 883296 1140924 1147992 1521232 1530656 1711386 1721988 2281848 2295984 3042464 3422772 3443976 4563696 4591968 4732381 6845544 6887952 9127392 9464762 13691088 13775904 14197143 18929524 27382176 28394286 37859048 42591429 56788572 75718096 85182858 113577144 146703811 151436192 170365716 227154288 293407622 340731432 440111433 454308576 586815244 681462864 880222866 1173630488 1320334299 1362925728 1760445732 2347260976 2640668598 3520891464 4694521952 5281337196 7041782928 10562674392 14083565856 21125348784 42250697568