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42406413546 = 2374725398461
BaseRepresentation
bin100111011111100111…
…101000010011101010
311001110101011000022010
4213133213220103222
51143322020213141
631251540340350
73030604365510
oct473747502352
9131411130263
1042406413546
1116a91351172
1282759a46b6
133cca7a54c3
1420a401a4b0
151182dc8416
hex9df9e84ea

42406413546 has 64 divisors (see below), whose sum is σ = 99041955840. Its totient is φ = 11852256960.

The previous prime is 42406413503. The next prime is 42406413547. The reversal of 42406413546 is 64531460424.

It is not an unprimeable number, because it can be changed into a prime (42406413547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5007756 + ... + 5016216.

It is an arithmetic number, because the mean of its divisors is an integer number (1547530560).

Almost surely, 242406413546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42406413546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49520977920).

42406413546 is an abundant number, since it is smaller than the sum of its proper divisors (56635542294).

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

42406413546 is a wasteful number, since it uses less digits than its factorization.

42406413546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11059.

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 42406413546 in words is "forty-two billion, four hundred six million, four hundred thirteen thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 2539 5078 7617 8461 15234 16922 17773 25383 35546 50766 53319 59227 106638 118454 119333 177681 238666 355362 357999 397667 715998 795334 835331 1193001 1670662 2386002 2505993 2783669 5011986 5567338 8351007 16702014 21482479 42964958 64447437 128894874 150377353 300754706 451132059 902264118 1009676513 2019353026 3029029539 6058059078 7067735591 14135471182 21203206773 42406413546