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130547739942 = 232113225128513
BaseRepresentation
bin111100110010101000…
…0000110110100100110
3110110222002121022120100
41321211100012310212
54114330210134232
6135550043044530
712301044323544
oct1714520066446
9413862538510
10130547739942
1150401883274
1221374210746
13c4065033c9
14646612ad94
1535e0eabc7c
hex1e65406d26

130547739942 has 48 divisors (see below), whose sum is σ = 285493345488. Its totient is φ = 43110144000.

The previous prime is 130547739941. The next prime is 130547739967. The reversal of 130547739942 is 249937745031.

130547739942 is a `hidden beast` number, since 1 + 3 + 0 + 547 + 7 + 3 + 9 + 94 + 2 = 666.

130547739942 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130547739941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4564278 + ... + 4592790.

It is an arithmetic number, because the mean of its divisors is an integer number (5947778031).

Almost surely, 2130547739942 is an apocalyptic number.

130547739942 is an abundant number, since it is smaller than the sum of its proper divisors (154945605546).

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

130547739942 is a wasteful number, since it uses less digits than its factorization.

130547739942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30885 (or 30882 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

It can be divided in two parts, 130547 and 739942, that added together give a square (870489 = 9332).

The spelling of 130547739942 in words is "one hundred thirty billion, five hundred forty-seven million, seven hundred thirty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 2251 4502 6753 13506 20259 28513 40518 57026 85539 171078 254363 256617 508726 513234 763089 1526178 2289267 3221969 4578534 6443938 9665907 19331814 28997721 57995442 64182763 128365526 192548289 385096578 577644867 1155289734 7252652219 14505304438 21757956657 43515913314 65273869971 130547739942