Search a number
-
+
109814603364 = 223647877867
BaseRepresentation
bin110011001000101110…
…1011101111001100100
3101111110011112212000000
41212101131131321210
53244400014301424
6122240444021300
710635210504324
oct1462135357144
9344404485000
10109814603364
1142632531954
1219348831830
13a480c8685b
14545a723284
152ccabc53c9
hex199175de64

109814603364 has 84 divisors (see below), whose sum is σ = 288228349584. Its totient is φ = 36592569072.

The previous prime is 109814603363. The next prime is 109814603387. The reversal of 109814603364 is 463306418901.

109814603364 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 1 + 4 + 603 + 36 + 4 = 666.

It is a super-2 number, since 2×1098146033642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109814603363) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13954959 + ... + 13962825.

It is an arithmetic number, because the mean of its divisors is an integer number (3431289876).

Almost surely, 2109814603364 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 109814603364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144114174792).

109814603364 is an abundant number, since it is smaller than the sum of its proper divisors (178413746220).

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

109814603364 is an equidigital number, since it uses as much as digits as its factorization.

109814603364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12676 (or 12659 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 109814603364 in words is "one hundred nine billion, eight hundred fourteen million, six hundred three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4787 7867 9574 14361 15734 19148 23601 28722 31468 43083 47202 57444 70803 86166 94404 129249 141606 172332 212409 258498 283212 387747 424818 516996 637227 775494 849636 1163241 1274454 1550988 1911681 2326482 2548908 3489723 3823362 4652964 5735043 6979446 7646724 11470086 13958892 22940172 37659329 75318658 112977987 150637316 225955974 338933961 451911948 677867922 1016801883 1355735844 2033603766 3050405649 4067207532 6100811298 9151216947 12201622596 18302433894 27453650841 36604867788 54907301682 109814603364