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12551561442 = 233753211821
BaseRepresentation
bin10111011000010000…
…11010000011100010
31012101201222101102000
423230020122003202
5201201144431232
65433251304430
7623016340410
oct135410320342
935351871360
1012551561442
115361035982
1225235ab116
131250500944
14870d962b0
154d6dc127c
hex2ec21a0e2

12551561442 has 96 divisors (see below), whose sum is σ = 32492530560. Its totient is φ = 3518199360.

The previous prime is 12551561441. The next prime is 12551561447. The reversal of 12551561442 is 24416515521.

12551561442 is a `hidden beast` number, since 1 + 2 + 5 + 51 + 561 + 4 + 42 = 666.

It is a super-2 number, since 2×125515614422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12551561397 and 12551561406.

It is not an unprimeable number, because it can be changed into a prime (12551561441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055892 + ... + 1067712.

It is an arithmetic number, because the mean of its divisors is an integer number (338463860).

Almost surely, 212551561442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12551561442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16246265280).

12551561442 is an abundant number, since it is smaller than the sum of its proper divisors (19940969118).

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

12551561442 is a wasteful number, since it uses less digits than its factorization.

12551561442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11945 (or 11886 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The spelling of 12551561442 in words is "twelve billion, five hundred fifty-one million, five hundred sixty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 954 1113 1431 2226 2809 2862 3339 5618 6678 8427 10017 11821 16854 19663 20034 23642 25281 35463 39326 50562 58989 70926 75843 82747 106389 117978 151686 165494 176967 212778 248241 319167 353934 496482 530901 626513 638334 744723 1061802 1253026 1489446 1879539 2234169 3759078 4385591 4468338 5638617 8771182 11277234 13156773 16915851 26313546 33205189 33831702 39470319 66410378 78940638 99615567 118410957 199231134 232436323 236821914 298846701 464872646 597693402 697308969 896540103 1394617938 1793080206 2091926907 4183853814 6275780721 12551561442