Search a number
-
+
106566301534 = 27112339177681
BaseRepresentation
bin110001100111111011…
…0001011011101011110
3101012001210022000120211
41203033312023131132
53221221433122114
6120542245403034
710461545421520
oct1431766133536
9335053260524
10106566301534
1141215998690
12187a0a0947a
13a084005874
14522d163a10
152b8a9356c4
hex18cfd8b75e

106566301534 has 64 divisors (see below), whose sum is σ = 208037901312. Its totient is φ = 39698841600.

The previous prime is 106566301493. The next prime is 106566301553. The reversal of 106566301534 is 435103665601.

It is a super-2 number, since 2×1065663015342 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13870174 + ... + 13877854.

It is an arithmetic number, because the mean of its divisors is an integer number (3250592208).

Almost surely, 2106566301534 is an apocalyptic number.

106566301534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106566301534 is a deficient number, since it is larger than the sum of its proper divisors (101471599778).

106566301534 is a wasteful number, since it uses less digits than its factorization.

106566301534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11641.

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 106566301534 in words is "one hundred six billion, five hundred sixty-six million, three hundred one thousand, five hundred thirty-four".

Divisors: 1 2 7 11 14 22 23 46 77 154 161 253 322 506 1771 3542 3917 7681 7834 15362 27419 43087 53767 54838 84491 86174 90091 107534 168982 176663 180182 301609 353326 591437 603218 630637 991001 1182874 1236641 1261274 1943293 1982002 2473282 3886586 6937007 13603051 13874014 27206102 30086477 60172954 210605339 330951247 421210678 661902494 691988971 1383977942 2316658729 4633317458 4843922797 7611878681 9687845594 15223757362 53283150767 106566301534