Search a number
-
+
42884468428626 = 23211613827427237
BaseRepresentation
bin10011100000000110100011…
…00000011100111101010010
312121211201022100011100222200
421300003101200130331102
521110104342404204001
6231112504113144030
712014205051124116
oct1160032140347522
9177751270140880
1042884468428626
1112734223483250
12498736985b016
131ac0cac8b17c6
14a838956b7746
154e57cb90e086
hex2700d181cf52

42884468428626 has 96 divisors (see below), whose sum is σ = 101651650446528. Its totient is φ = 12958375489920.

The previous prime is 42884468428621. The next prime is 42884468428651. The reversal of 42884468428626 is 62682486448824.

It is a happy number.

42884468428626 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 446 + 84 + 2 + 86 + 26 = 666.

It is not an unprimeable number, because it can be changed into a prime (42884468428621) 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 47 ways as a sum of consecutive naturals, for example, 100162680 + ... + 100589916.

It is an arithmetic number, because the mean of its divisors is an integer number (1058871358818).

Almost surely, 242884468428626 is an apocalyptic number.

42884468428626 is an abundant number, since it is smaller than the sum of its proper divisors (58767182017902).

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

42884468428626 is a wasteful number, since it uses less digits than its factorization.

42884468428626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428696 (or 428693 counting only the distinct ones).

The product of its digits is 1811939328, while the sum is 72.

The spelling of 42884468428626 in words is "forty-two trillion, eight hundred eighty-four billion, four hundred sixty-eight million, four hundred twenty-eight thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 613 827 1226 1654 1839 2481 3678 4962 5517 6743 7443 9097 11034 13486 14886 18194 20229 27291 40458 54582 60687 81873 121374 163746 427237 506951 854474 1013902 1281711 1520853 2563422 3041706 3845133 4562559 4699607 5576461 7690266 9125118 9399214 11152922 14098821 16729383 28197642 33458766 42296463 50188149 84592926 100376298 261896281 353324999 523792562 706649998 785688843 1059974997 1571377686 2119949994 2357066529 2880859091 3179924991 3886574989 4714133058 5761718182 6359849982 7773149978 8642577273 11659724967 17285154546 23319449934 25927731819 34979174901 51855463638 69958349802 216588224387 433176448774 649764673161 1299529346322 1949294019483 2382470468257 3898588038966 4764940936514 7147411404771 14294822809542 21442234214313 42884468428626