Search a number
-
+
105510510056 = 2374358437499
BaseRepresentation
bin110001001000011101…
…0101001110111101000
3101002100012122020221202
41202100322221313220
53212041142310211
6120245412223332
710423435352330
oct1422072516750
9332305566852
10105510510056
1140823a28946
121854730ab48
139c46363193
14516cc520c0
152b27dd353b
hex1890ea9de8

105510510056 has 64 divisors (see below), whose sum is σ = 231422400000. Its totient is φ = 44153742528.

The previous prime is 105510510029. The next prime is 105510510089. The reversal of 105510510056 is 650015015501.

It is a happy number.

It is a super-2 number, since 2×1055105100562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14066195 + ... + 14073693.

It is an arithmetic number, because the mean of its divisors is an integer number (3615975000).

Almost surely, 2105510510056 is an apocalyptic number.

It is an amenable number.

105510510056 is an abundant number, since it is smaller than the sum of its proper divisors (125911889944).

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

105510510056 is a wasteful number, since it uses less digits than its factorization.

105510510056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13398 (or 13394 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

Adding to 105510510056 its reverse (650015015501), we get a palindrome (755525525557).

The spelling of 105510510056 in words is "one hundred five billion, five hundred ten million, five hundred ten thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 2408 5843 7499 11686 14998 23372 29996 40901 46744 52493 59992 81802 104986 163604 209972 251249 322457 327208 419944 502498 644914 1004996 1289828 1758743 2009992 2257199 2579656 3517486 4514398 7034972 9028796 14069944 18057592 43816657 87633314 175266628 306716599 350533256 613433198 1226866396 1884116251 2453732792 3768232502 7536465004 13188813757 15072930008 26377627514 52755255028 105510510056