Search a number
-
+
10144826118 = 232780514493
BaseRepresentation
bin10010111001010110…
…11100001100000110
3222012000021120012200
421130223130030012
5131234033413433
64354354455330
7506253412350
oct113453341406
928160246180
1010144826118
114336543019
121b71594546
13c589c73bb
146c34a20d0
153e5969613
hex25cadc306

10144826118 has 24 divisors (see below), whose sum is σ = 25120522128. Its totient is φ = 2898521712.

The previous prime is 10144826101. The next prime is 10144826119. The reversal of 10144826118 is 81162844101.

10144826118 is a `hidden beast` number, since 101 + 4 + 482 + 61 + 18 = 666.

It is a super-3 number, since 3×101448261183 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144826119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40257121 + ... + 40257372.

It is an arithmetic number, because the mean of its divisors is an integer number (1046688422).

Almost surely, 210144826118 is an apocalyptic number.

10144826118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10144826118 is an abundant number, since it is smaller than the sum of its proper divisors (14975696010).

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

10144826118 is a wasteful number, since it uses less digits than its factorization.

10144826118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80514508 (or 80514505 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10144826118 in words is "ten billion, one hundred forty-four million, eight hundred twenty-six thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 80514493 161028986 241543479 483086958 563601451 724630437 1127202902 1449260874 1690804353 3381608706 5072413059 10144826118