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426104441694 = 2323722910392689
BaseRepresentation
bin1100011001101011100…
…11011100101101011110
31111201211221200101222200
412030311303130231132
523440130214113234
6523425532552330
742533156665011
oct6146563345536
91451757611880
10426104441694
11154789937858
126a6b96226a6
133124891c149
14168a30c3378
15b13d52cd99
hex6335cdcb5e

426104441694 has 96 divisors (see below), whose sum is σ = 953589936000. Its totient is φ = 137409011712.

The previous prime is 426104441627. The next prime is 426104441699. The reversal of 426104441694 is 496144401624.

It is a happy number.

426104441694 is a `hidden beast` number, since 42 + 6 + 1 + 0 + 444 + 169 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426104441699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158460702 + ... + 158463390.

It is an arithmetic number, because the mean of its divisors is an integer number (9933228500).

Almost surely, 2426104441694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426104441694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476794968000).

426104441694 is an abundant number, since it is smaller than the sum of its proper divisors (527485494306).

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

426104441694 is a wasteful number, since it uses less digits than its factorization.

426104441694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 426104441694 in words is "four hundred twenty-six billion, one hundred four million, four hundred forty-one thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 229 333 458 666 687 1039 1374 2061 2078 2689 3117 4122 5378 6234 8067 8473 9351 16134 16946 18702 24201 25419 38443 48402 50838 76257 76886 99493 115329 152514 198986 230658 237931 298479 345987 475862 596958 615781 691974 713793 895437 1231562 1427586 1790874 1847343 2141379 2793871 3694686 4282758 5542029 5587742 8381613 8803447 11084058 16763226 17606894 22783897 25144839 26410341 45567794 50289678 52820682 68351691 79231023 103373227 136703382 158462046 205055073 206746454 310119681 410110146 620239362 639796459 930359043 1279592918 1860718086 1919389377 3838778754 5758168131 11516336262 23672468983 47344937966 71017406949 142034813898 213052220847 426104441694