Search a number
-
+
106786913228 = 22832838231381
BaseRepresentation
bin110001101110011111…
…1101111101111001100
3101012122011102020221022
41203130333233233030
53222144422210403
6121020210053312
710500164533352
oct1433477575714
9335564366838
10106786913228
11413194794a6
121884287a238
13a0ba928828
14525058d7d2
152b9eeb1d38
hex18dcfefbcc

106786913228 has 48 divisors (see below), whose sum is σ = 190165145856. Its totient is φ = 52461881280.

The previous prime is 106786913197. The next prime is 106786913243. The reversal of 106786913228 is 822319687601.

It is a super-3 number, since 3×1067869132283 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106786913228.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77325098 + ... + 77326478.

It is an arithmetic number, because the mean of its divisors is an integer number (3961773872).

Almost surely, 2106786913228 is an apocalyptic number.

It is an amenable number.

106786913228 is a deficient number, since it is larger than the sum of its proper divisors (83378232628).

106786913228 is a wasteful number, since it uses less digits than its factorization.

106786913228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 106786913228 in words is "one hundred six billion, seven hundred eighty-six million, nine hundred thirteen thousand, two hundred twenty-eight".

Divisors: 1 2 4 83 166 283 332 566 823 1132 1381 1646 2762 3292 5524 23489 46978 68309 93956 114623 136618 229246 232909 273236 390823 458492 465818 781646 931636 1136563 1563292 2273126 4546252 19331447 32438309 38662894 64876618 77325788 94334729 129753236 188669458 321647329 377338916 643294658 1286589316 26696728307 53393456614 106786913228