Search a number
-
+
130493410802982 = 23279511614156489
BaseRepresentation
bin11101101010111011011101…
…011001010111110100100110
3122010001001022011111002222100
4131222323131121113310212
5114101001001131143412
61141311502331512530
736325560240266163
oct3552733531276446
9563031264432870
10130493410802982
1138640a43495457
12127765b72b8746
1357a76255517c6
142431cb423d06a
1510146769abedc
hex76aedd657d26

130493410802982 has 48 divisors (see below), whose sum is σ = 282793808082240. Its totient is φ = 43488868464000.

The previous prime is 130493410802981. The next prime is 130493410802999. The reversal of 130493410802982 is 289208014394031.

130493410802982 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 9 + 341 + 0 + 8 + 0 + 298 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130493410802981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2310039394 + ... + 2310095882.

It is an arithmetic number, because the mean of its divisors is an integer number (5891537668380).

Almost surely, 2130493410802982 is an apocalyptic number.

130493410802982 is an abundant number, since it is smaller than the sum of its proper divisors (152300397279258).

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

130493410802982 is a wasteful number, since it uses less digits than its factorization.

130493410802982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80589 (or 80586 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 130493410802982 in words is "one hundred thirty trillion, four hundred ninety-three billion, four hundred ten million, eight hundred two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 7951 15902 16141 23853 32282 47706 48423 56489 71559 96846 112978 143118 145269 169467 290538 338934 508401 1016802 128337091 256674182 385011273 449144039 770022546 898288078 911788949 1155033819 1347432117 1823577898 2310067638 2694864234 2735366847 4042296351 5470733694 8084592702 8206100541 16412201082 7249633933499 14499267866998 21748901800497 43497803600994 65246705401491 130493410802982