Search a number
-
+
573142100832 = 25337319101789
BaseRepresentation
bin10000101011100011110…
…11100110101101100000
32000210101020222102011000
420111301323212231200
533342243334211312
61115144200152000
756256665322000
oct10256173465540
92023336872130
10573142100832
11201082857414
12930b4168600
134207c541292
141da51272000
15ed97006adc
hex8571ee6b60

573142100832 has 384 divisors, whose sum is σ = 2052086400000. Its totient is φ = 155134683648.

The previous prime is 573142100827. The next prime is 573142100837. The reversal of 573142100832 is 238001241375.

573142100832 is a `hidden beast` number, since 57 + 314 + 210 + 0 + 83 + 2 = 666.

573142100832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (573142100827) and next prime (573142100837).

It is a super-2 number, since 2×5731421008322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (573142100837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5579794 + ... + 5681582.

It is an arithmetic number, because the mean of its divisors is an integer number (5343975000).

Almost surely, 2573142100832 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 573142100832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026043200000).

573142100832 is an abundant number, since it is smaller than the sum of its proper divisors (1478944299168).

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

573142100832 is a wasteful number, since it uses less digits than its factorization.

573142100832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101848 (or 101820 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 573142100832 in words is "five hundred seventy-three billion, one hundred forty-two million, one hundred thousand, eight hundred thirty-two".