Search a number
-
+
109494627168 = 2536185921767
BaseRepresentation
bin110010111111001100…
…0110110101101100000
3101110121212110101011210
41211332120312231200
53243221111032133
6122145013510120
710624243655163
oct1457630665540
9343555411153
10109494627168
1142488954013
1219279642340
13a42c8b3424
14542a02dada
152caca6c763
hex197e636b60

109494627168 has 96 divisors (see below), whose sum is σ = 292488779520. Its totient is φ = 35856437760.

The previous prime is 109494627167. The next prime is 109494627169. The reversal of 109494627168 is 861726494901.

It is an interprime number because it is at equal distance from previous prime (109494627167) and next prime (109494627169).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109494627163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5019421 + ... + 5041187.

It is an arithmetic number, because the mean of its divisors is an integer number (3046758120).

Almost surely, 2109494627168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109494627168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146244389760).

109494627168 is an abundant number, since it is smaller than the sum of its proper divisors (182994152352).

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

109494627168 is a wasteful number, since it uses less digits than its factorization.

109494627168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22700 (or 22692 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 109494627168 in words is "one hundred nine billion, four hundred ninety-four million, six hundred twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 859 976 1464 1718 1952 2577 2928 3436 5154 5856 6872 10308 13744 20616 21767 27488 41232 43534 52399 65301 82464 87068 104798 130602 157197 174136 209596 261204 314394 348272 419192 522408 628788 696544 838384 1044816 1257576 1327787 1676768 2089632 2515152 2655574 3983361 5030304 5311148 7966722 10622296 15933444 18697853 21244592 31866888 37395706 42489184 56093559 63733776 74791412 112187118 127467552 149582824 224374236 299165648 448748472 598331296 897496944 1140569033 1794993888 2281138066 3421707099 4562276132 6843414198 9124552264 13686828396 18249104528 27373656792 36498209056 54747313584 109494627168