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42173405384 = 231117109258631
BaseRepresentation
bin100111010001101110…
…110001100011001000
311000212010200222012012
4213101232301203020
51142332342433014
631212454235052
73022045013435
oct472156614310
9130763628165
1042173405384
1116981873740
12820b955a88
133c91431c56
1420810c4b8c
15116c6edc3e
hex9d1bb18c8

42173405384 has 64 divisors (see below), whose sum is σ = 92176444800. Its totient is φ = 17876505600.

The previous prime is 42173405371. The next prime is 42173405441. The reversal of 42173405384 is 48350437124.

It is a super-2 number, since 2×421734053842 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33749 + ... + 292379.

It is an arithmetic number, because the mean of its divisors is an integer number (1440256950).

Almost surely, 242173405384 is an apocalyptic number.

42173405384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42173405384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46088222400).

42173405384 is an abundant number, since it is smaller than the sum of its proper divisors (50003039416).

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

42173405384 is a wasteful number, since it uses less digits than its factorization.

42173405384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258774 (or 258770 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 42173405384 in words is "forty-two billion, one hundred seventy-three million, four hundred five thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 109 136 187 218 374 436 748 872 1199 1496 1853 2398 3706 4796 7412 9592 14824 20383 40766 81532 163064 258631 517262 1034524 2069048 2844941 4396727 5689882 8793454 11379764 17586908 22759528 28190779 35173816 48363997 56381558 96727994 112763116 193455988 225526232 310098569 386911976 479243243 620197138 958486486 1240394276 1916972972 2480788552 3833945944 5271675673 10543351346 21086702692 42173405384