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109612642084 = 2211210121492
BaseRepresentation
bin110011000010101101…
…1000010111100100100
3101110221002112011012121
41212011123002330210
53243441314021314
6122204431155324
710630206041041
oct1460533027444
9343832464177
10109612642084
114253952a400
12192b1075b44
13a44b19393a
14543b9901c8
152cb80ced24
hex19856c2f24

109612642084 has 81 divisors (see below), whose sum is σ = 214392870643. Its totient is φ = 48999544000.

The previous prime is 109612642063. The next prime is 109612642123. The reversal of 109612642084 is 480246216901.

The square root of 109612642084 is 331078.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2448072484 + 107164569600 = 49478^2 + 327360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 109612642084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 735655242 + ... + 735655390.

Almost surely, 2109612642084 is an apocalyptic number.

109612642084 is the 331078-th square number.

It is an amenable number.

109612642084 is a deficient number, since it is larger than the sum of its proper divisors (104780228559).

109612642084 is a wasteful number, since it uses less digits than its factorization.

109612642084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

Adding to 109612642084 its reverse (480246216901), we get a palindrome (589858858985).

The spelling of 109612642084 in words is "one hundred nine billion, six hundred twelve million, six hundred forty-two thousand, eighty-four".

Divisors: 1 2 4 11 22 44 101 121 149 202 242 298 404 484 596 1111 1639 2222 3278 4444 6556 10201 12221 15049 18029 20402 22201 24442 30098 36058 40804 44402 48884 60196 72116 88804 112211 165539 224422 244211 331078 448844 488422 662156 976844 1234321 1519949 1820929 2242301 2468642 2686321 3039898 3641858 4484602 4937284 5372642 6079796 7283716 8969204 10745284 16719439 24665311 33438878 49330622 66877756 98661244 183913829 226472401 271318421 367827658 452944802 542636842 735655316 905889604 1085273684 2491196411 4982392822 9964785644 27403160521 54806321042 109612642084