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5605006050042 = 237835213086107
BaseRepresentation
bin101000110010000010001…
…1001010000001011111010
3201211211111111201212120020
41101210010121100023322
51213313023022100132
615530523151511310
71115643163223220
oct121440431201372
921754444655506
105605006050042
11187108487a5a3
12766355228536
1331871bbbb059
141553d8824b10
159abebcdd52c
hex519046502fa

5605006050042 has 64 divisors (see below), whose sum is σ = 12990687704064. Its totient is φ = 1579098718080.

The previous prime is 5605006050041. The next prime is 5605006050047. The reversal of 5605006050042 is 2400506005065.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5605006049985 and 5605006050012.

It is not an unprimeable number, because it can be changed into a prime (5605006050041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273153 + ... + 3359259.

It is an arithmetic number, because the mean of its divisors is an integer number (202979495376).

Almost surely, 25605006050042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5605006050042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495343852032).

5605006050042 is an abundant number, since it is smaller than the sum of its proper divisors (7385681654022).

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

5605006050042 is a wasteful number, since it uses less digits than its factorization.

5605006050042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086723.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 5605006050042 in words is "five trillion, six hundred five billion, six million, fifty thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 521 581 1042 1162 1563 1743 3126 3486 3647 7294 10941 21882 43243 86486 129729 259458 302701 605402 908103 1816206 3086107 6172214 9258321 18516642 21602749 43205498 64808247 129616494 256146881 512293762 768440643 1536881286 1607861747 1793028167 3215723494 3586056334 4823585241 5379084501 9647170482 10758169002 11255032229 22510064458 33765096687 67530193374 133452525001 266905050002 400357575003 800715150006 934167675007 1868335350014 2802503025021 5605006050042