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42412211352 = 23327113744701
BaseRepresentation
bin100111011111111101…
…101111110010011000
311001110210001120101200
4213133331233302120
51143330011230402
631252304514200
73031004563650
oct473775576230
9131423046350
1042412211352
1116a94651145
12827791b960
133ccba55464
1420a4ac9360
15118367121c
hex9dff6fc98

42412211352 has 96 divisors (see below), whose sum is σ = 132437803680. Its totient is φ = 12010521600.

The previous prime is 42412211267. The next prime is 42412211383. The reversal of 42412211352 is 25311221424.

42412211352 is a `hidden beast` number, since 4 + 2 + 412 + 211 + 35 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315399 + ... + 429302.

It is an arithmetic number, because the mean of its divisors is an integer number (1379560455).

Almost surely, 242412211352 is an apocalyptic number.

42412211352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42412211352 is an abundant number, since it is smaller than the sum of its proper divisors (90025592328).

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

42412211352 is a wasteful number, since it uses less digits than its factorization.

42412211352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744833 (or 744826 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 42412211352 its reverse (25311221424), we get a palindrome (67723432776).

The spelling of 42412211352 in words is "forty-two billion, four hundred twelve million, two hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 504 678 791 904 1017 1356 1582 2034 2373 2712 3164 4068 4746 6328 7119 8136 9492 14238 18984 28476 56952 744701 1489402 2234103 2978804 4468206 5212907 5957608 6702309 8936412 10425814 13404618 15638721 17872824 20851628 26809236 31277442 41703256 46916163 53618472 62554884 84151213 93832326 125109768 168302426 187664652 252453639 336604852 375329304 504907278 589058491 673209704 757360917 1009814556 1178116982 1514721834 1767175473 2019629112 2356233964 3029443668 3534350946 4712467928 5301526419 6058887336 7068701892 10603052838 14137403784 21206105676 42412211352