Search a number
-
+
2157641046 = 2321123346769
BaseRepresentation
bin1000000010011010…
…1111110101010110
312120100222112002100
42000212233311112
513404324003141
6554033422530
7104316434451
oct20046576526
95510875070
102157641046
11a07a28720
1250270aa46
132850201a2
141667b2498
15c96510b6
hex809afd56

2157641046 has 48 divisors (see below), whose sum is σ = 5121876240. Its totient is φ = 651010560.

The previous prime is 2157641041. The next prime is 2157641047. The reversal of 2157641046 is 6401467512.

2157641046 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 641 + 0 + 4 + 6 = 666.

2157641046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2157641046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157641041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22750 + ... + 69518.

It is an arithmetic number, because the mean of its divisors is an integer number (106705755).

Almost surely, 22157641046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157641046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560938120).

2157641046 is an abundant number, since it is smaller than the sum of its proper divisors (2964235194).

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

2157641046 is a wasteful number, since it uses less digits than its factorization.

2157641046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47021 (or 47018 counting only the distinct ones).

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

The square root of 2157641046 is about 46450.4149174149. The cubic root of 2157641046 is about 1292.1900673930.

The spelling of 2157641046 in words is "two billion, one hundred fifty-seven million, six hundred forty-one thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 233 466 699 1398 2097 2563 4194 5126 7689 15378 23067 46134 46769 93538 140307 280614 420921 514459 841842 1028918 1543377 3086754 4630131 9260262 10897177 21794354 32691531 65383062 98074593 119868947 196149186 239737894 359606841 719213682 1078820523 2157641046