Search a number
-
+
105369653916 = 22322926934831
BaseRepresentation
bin110001000100010000…
…1010101001010011100
3101001222101121000122200
41202020201111022130
53211244112411131
6120223421211500
710420105165122
oct1421041251234
9331871530580
10105369653916
114076147160a
1218508100b90
139c23116257
145158267912
152b1a85d2e6
hex188885529c

105369653916 has 18 divisors (see below), whose sum is σ = 266351069712. Its totient is φ = 35123217960.

The previous prime is 105369653911. The next prime is 105369653953. The reversal of 105369653916 is 619356963501.

105369653916 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 6 + 96 + 539 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1053696539162 (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 (105369653911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1463467380 + ... + 1463467451.

Almost surely, 2105369653916 is an apocalyptic number.

It is an amenable number.

105369653916 is an abundant number, since it is smaller than the sum of its proper divisors (160981415796).

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

105369653916 is a wasteful number, since it uses less digits than its factorization.

105369653916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926934841 (or 2926934836 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 105369653916 in words is "one hundred five billion, three hundred sixty-nine million, six hundred fifty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 2926934831 5853869662 8780804493 11707739324 17561608986 26342413479 35123217972 52684826958 105369653916