Search a number
-
+
105492515136 = 2631573499619
BaseRepresentation
bin110001000111111011…
…0000000100101000000
3101002021221210000120020
41202033312000211000
53212022040441021
6120243530413440
710423126404111
oct1421766004500
9332257700506
10105492515136
1140814858008
1218541291280
139c427025b8
14516a6ca208
152b2652b7c6
hex188fd80940

105492515136 has 56 divisors (see below), whose sum is σ = 280893499680. Its totient is φ = 34940186112.

The previous prime is 105492515111. The next prime is 105492515137. The reversal of 105492515136 is 631515294501.

It is a super-2 number, since 2×1054925151362 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105492515137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1719666 + ... + 1779953.

Almost surely, 2105492515136 is an apocalyptic number.

105492515136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105492515136 is an abundant number, since it is smaller than the sum of its proper divisors (175400984544).

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

105492515136 is a wasteful number, since it uses less digits than its factorization.

105492515136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499791 (or 3499781 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 105492515136 in words is "one hundred five billion, four hundred ninety-two million, five hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1884 2512 3768 5024 7536 10048 15072 30144 3499619 6999238 10498857 13998476 20997714 27996952 41995428 55993904 83990856 111987808 167981712 223975616 335963424 549440183 671926848 1098880366 1648320549 2197760732 3296641098 4395521464 6593282196 8791042928 13186564392 17582085856 26373128784 35164171712 52746257568 105492515136