Search a number
-
+
103540627136 = 263743724927
BaseRepresentation
bin110000001101110000…
…0001001011011000000
3100220020220221211121002
41200123200021123000
53144022400032021
6115322122551132
710323555544412
oct1403340113300
9326226854532
10103540627136
113aa02a91731
12180976684a8
1399c120219b
1450233969b2
152a5eebe50b
hex181b8096c0

103540627136 has 28 divisors (see below), whose sum is σ = 211016502528. Its totient is φ = 50371114752.

The previous prime is 103540627103. The next prime is 103540627147. The reversal of 103540627136 is 631726045301.

It is a super-3 number, since 3×1035406271363 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103540627136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21860096 + ... + 21864831.

Almost surely, 2103540627136 is an apocalyptic number.

103540627136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103540627136 is an abundant number, since it is smaller than the sum of its proper divisors (107475875392).

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

103540627136 is an equidigital number, since it uses as much as digits as its factorization.

103540627136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43724976 (or 43724966 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 103540627136 in words is "one hundred three billion, five hundred forty million, six hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 43724927 87449854 174899708 349799416 699598832 1399197664 1617822299 2798395328 3235644598 6471289196 12942578392 25885156784 51770313568 103540627136