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100466133064 = 23112949978893
BaseRepresentation
bin101110110010000111…
…1111000100001001000
3100121022122202100121021
41131210033320201020
53121223312224224
6114053053522224
710154434020013
oct1354417704110
9317278670537
10100466133064
1139675570840
1217579aa3374
13962126771b
144c10d1c37a
1529301131e4
hex17643f8848

100466133064 has 64 divisors (see below), whose sum is σ = 213013800000. Its totient is φ = 44002801920.

The previous prime is 100466133059. The next prime is 100466133077. The reversal of 100466133064 is 460331664001.

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, 1234002 + ... + 1312894.

It is an arithmetic number, because the mean of its divisors is an integer number (3328340625).

Almost surely, 2100466133064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100466133064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106506900000).

100466133064 is an abundant number, since it is smaller than the sum of its proper divisors (112547666936).

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

100466133064 is a wasteful number, since it uses less digits than its factorization.

100466133064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79438 (or 79434 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 100466133064 its reverse (460331664001), we get a palindrome (560797797065).

The spelling of 100466133064 in words is "one hundred billion, four hundred sixty-six million, one hundred thirty-three thousand, sixty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 499 638 998 1276 1996 2552 3992 5489 10978 14471 21956 28942 43912 57884 78893 115768 157786 159181 315572 318362 631144 636724 867823 1273448 1735646 2287897 3471292 4575794 6942584 9151588 18303176 25166867 39367607 50333734 78735214 100667468 157470428 201334936 314940856 433043677 866087354 1141660603 1732174708 2283321206 3464349416 4566642412 9133284824 12558266633 25116533266 50233066532 100466133064