Search a number
-
+
11034624645 = 3251125338237
BaseRepresentation
bin10100100011011011…
…10000001010000101
31001111000121000022200
422101231300022011
5140044330442040
65022542145113
7540306522222
oct122155601205
931430530280
1011034624645
114752837900
12217b582199
13106b15b5c5
14769724949
15448b2d630
hex291b70285

11034624645 has 72 divisors (see below), whose sum is σ = 21420774648. Its totient is φ = 5249038080.

The previous prime is 11034624607. The next prime is 11034624719. The reversal of 11034624645 is 54642643011.

11034624645 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 4 + 6 + 2 + 4 + 645 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2008294596 + 9026330049 = 44814^2 + 95007^2 .

It is not a de Polignac number, because 11034624645 - 28 = 11034624389 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 269467 + ... + 307703.

It is an arithmetic number, because the mean of its divisors is an integer number (297510759).

Almost surely, 211034624645 is an apocalyptic number.

11034624645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11034624645 is a deficient number, since it is larger than the sum of its proper divisors (10386150003).

11034624645 is a wasteful number, since it uses less digits than its factorization.

11034624645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38323 (or 38309 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 11034624645 in words is "eleven billion, thirty-four million, six hundred twenty-four thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 53 55 99 121 159 165 265 363 477 495 583 605 795 1089 1749 1815 2385 2915 5247 5445 6413 8745 19239 26235 32065 38237 57717 96195 114711 191185 288585 344133 420607 573555 1261821 1720665 2026561 2103035 3785463 4626677 6079683 6309105 10132805 13880031 18239049 18927315 22292171 23133385 30398415 41640093 66876513 69400155 91195245 111460855 200629539 208200465 245213881 334382565 735641643 1003147695 1226069405 2206924929 3678208215 11034624645