Search a number
-
+
364790640006 = 2321367199116923
BaseRepresentation
bin1010100111011110011…
…01110110110110000110
31021212120212221120010200
411103233031312312012
521434042400440011
6435325453231330
735232565164462
oct5235715666606
91255525846120
10364790640006
11130785896081
125a847792546
1328526c33c10
1413927d594a2
1597507b0856
hex54ef376d86

364790640006 has 96 divisors (see below), whose sum is σ = 868230854400. Its totient is φ = 110011442112.

The previous prime is 364790639987. The next prime is 364790640017. The reversal of 364790640006 is 600046097463.

It is a super-2 number, since 2×3647906400062 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3061461 + ... + 3178383.

It is an arithmetic number, because the mean of its divisors is an integer number (9044071400).

Almost surely, 2364790640006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364790640006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434115427200).

364790640006 is an abundant number, since it is smaller than the sum of its proper divisors (503440214394).

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

364790640006 is a wasteful number, since it uses less digits than its factorization.

364790640006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117210 (or 117207 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 364790640006 in words is "three hundred sixty-four billion, seven hundred ninety million, six hundred forty thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 117 134 199 201 234 398 402 597 603 871 1194 1206 1742 1791 2587 2613 3582 5174 5226 7761 7839 13333 15522 15678 23283 26666 39999 46566 79998 116923 119997 173329 233846 239994 346658 350769 519987 701538 1039974 1052307 1519999 1559961 2104614 3039998 3119922 4559997 7833841 9119994 13679991 15667682 23267677 23501523 27359982 46535354 47003046 69803031 70504569 101839933 139606062 141009138 203679866 209409093 302479801 305519799 418818186 604959602 611039598 907439403 916559397 1558934359 1814878806 1833118794 2722318209 3117868718 4676803077 5444636418 9353606154 14030409231 20266146667 28060818462 40532293334 60798440001 121596880002 182395320003 364790640006