Search a number
-
+
641970479155488 = 25373192314142491
BaseRepresentation
bin1001000111110111100110011…
…0010111011100100100100000
310010012000210000110222202101020
42101331321212113130210200
51133121021020130433423
610153205100003405440
7252135556634643000
oct22175714627344440
93105023013882336
10641970479155488
1117660817339043a
126000221a683880
132172973060ab02
14b47577367a000
154e341d338a4e3
hex247de665dc920

641970479155488 has 1152 divisors, whose sum is σ = 2193269247590400. Its totient is φ = 164055725568000.

The previous prime is 641970479155403. The next prime is 641970479155501. The reversal of 641970479155488 is 884551974079146.

641970479155488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6419704791554882 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15108365923 + ... + 15108408413.

It is an arithmetic number, because the mean of its divisors is an integer number (1903879555200).

Almost surely, 2641970479155488 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 641970479155488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096634623795200).

641970479155488 is an abundant number, since it is smaller than the sum of its proper divisors (1551298768434912).

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

641970479155488 is a wasteful number, since it uses less digits than its factorization.

641970479155488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42635 (or 42594 counting only the distinct ones).

The product of its (nonzero) digits is 2438553600, while the sum is 78.

The spelling of 641970479155488 in words is "six hundred forty-one trillion, nine hundred seventy billion, four hundred seventy-nine million, one hundred fifty-five thousand, four hundred eighty-eight".