Search a number
-
+
105426366336 = 273291515943
BaseRepresentation
bin110001000101111100…
…1101010111110000000
3101002010100022022110200
41202023321222332000
53211403122210321
6120233204525200
710421364220344
oct1421371527600
9332110268420
10105426366336
1140790487485
12185230b0800
139c31ab19b5
1451619cb624
152b20811d26
hex188be6af80

105426366336 has 48 divisors (see below), whose sum is σ = 303375354360. Its totient is φ = 35142121728.

The previous prime is 105426366281. The next prime is 105426366373. The reversal of 105426366336 is 633663624501.

105426366336 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 6 + 3 + 6 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1054263663362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105426366291 and 105426366300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45756820 + ... + 45759123.

Almost surely, 2105426366336 is an apocalyptic number.

105426366336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105426366336 is an abundant number, since it is smaller than the sum of its proper divisors (197948988024).

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

105426366336 is an equidigital number, since it uses as much as digits as its factorization.

105426366336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91515963 (or 91515948 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 105426366336 in words is "one hundred five billion, four hundred twenty-six million, three hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 91515943 183031886 274547829 366063772 549095658 732127544 823643487 1098191316 1464255088 1647286974 2196382632 2928510176 3294573948 4392765264 5857020352 6589147896 8785530528 11714040704 13178295792 17571061056 26356591584 35142122112 52713183168 105426366336