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12042358384 = 2472191734673
BaseRepresentation
bin10110011011100011…
…11100111001110000
31011002020211012010111
423031301330321300
5144130320432014
65310541311104
7604264233400
oct131561747160
934066735114
1012042358384
11511a663101
122400b65494
13119bb75964
148234c6800
154a733b2c4
hex2cdc7ce70

12042358384 has 120 divisors (see below), whose sum is σ = 28741173840. Its totient is φ = 4860076032.

The previous prime is 12042358369. The next prime is 12042358397. The reversal of 12042358384 is 48385324021.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2574672 + ... + 2579344.

It is an arithmetic number, because the mean of its divisors is an integer number (239509782).

Almost surely, 212042358384 is an apocalyptic number.

12042358384 is a gapful number since it is divisible by the number (14) 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 12042358384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370586920).

12042358384 is an abundant number, since it is smaller than the sum of its proper divisors (16698815456).

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

12042358384 is a wasteful number, since it uses less digits than its factorization.

12042358384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 12042358384 in words is "twelve billion, forty-two million, three hundred fifty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 173 196 266 304 346 392 532 692 784 931 1064 1211 1384 1862 2128 2422 2768 3287 3724 4673 4844 6574 7448 8477 9346 9688 13148 14896 16954 18692 19376 23009 26296 32711 33908 37384 46018 52592 65422 67816 74768 88787 92036 130844 135632 161063 177574 184072 228977 261688 322126 355148 368144 457954 523376 621509 644252 710296 808429 915908 1243018 1288504 1420592 1616858 1831816 2486036 2577008 3233716 3663632 4350563 4972072 5659003 6467432 8701126 9944144 11318006 12934864 15360151 17402252 22636012 30720302 34804504 39613021 45272024 61440604 69609008 79226042 90544048 107521057 122881208 158452084 215042114 245762416 316904168 430084228 633808336 752647399 860168456 1505294798 1720336912 3010589596 6021179192 12042358384