Search a number
-
+
2408969353180 = 22513113495116561
BaseRepresentation
bin100011000011100001110…
…000110011011111011100
322112021222012211120102211
4203003201300303133130
5303432032123300210
65042355405330204
7336020335435555
oct43034160633734
98467865746384
102408969353180
11849702441a65
1232aa5ab66964
1314621b1b2490
1484847d6b32c
15429e204c38a
hex230e1c337dc

2408969353180 has 96 divisors (see below), whose sum is σ = 5497631088768. Its totient is φ = 881362944000.

The previous prime is 2408969353127. The next prime is 2408969353187. The reversal of 2408969353180 is 813539698042.

2408969353180 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 2×24089693531802 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2408969353187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145452100 + ... + 145468660.

It is an arithmetic number, because the mean of its divisors is an integer number (57266990508).

Almost surely, 22408969353180 is an apocalyptic number.

2408969353180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2408969353180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748815544384).

2408969353180 is an abundant number, since it is smaller than the sum of its proper divisors (3088661735588).

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

2408969353180 is a wasteful number, since it uses less digits than its factorization.

2408969353180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21647 (or 21645 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 2408969353180 in words is "two trillion, four hundred eight billion, nine hundred sixty-nine million, three hundred fifty-three thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 4951 5876 7345 9902 14690 16561 19804 24755 29380 33122 49510 64363 66244 82805 99020 128726 165610 215293 257452 321815 331220 430586 559463 643630 861172 1076465 1118926 1287260 1871393 2152930 2237852 2797315 3742786 4305860 5594630 7273019 7485572 9356965 11189260 14546038 18713930 24328109 29092076 36365095 37427860 48656218 72730190 81993511 97312436 121640545 145460380 163987022 243281090 327974044 409967555 486562180 819935110 1065915643 1639870220 2131831286 4263662572 5329578215 9265266743 10659156430 18530533486 21318312860 37061066972 46326333715 92652667430 120448467659 185305334860 240896935318 481793870636 602242338295 1204484676590 2408969353180