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109668040818 = 237218112131699
BaseRepresentation
bin110011000100010111…
…0011000000001110010
3101111001221202200222120
41212020232120001302
53244100004301233
6122214130415110
710631450652300
oct1461056300162
9344057680876
10109668040818
1142567828286
1219307731496
13a4597bc45b
145445091270
152cbcdc44b3
hex1988b98072

109668040818 has 96 divisors (see below), whose sum is σ = 256918334400. Its totient is φ = 31116597120.

The previous prime is 109668040813. The next prime is 109668040841. The reversal of 109668040818 is 818040866901.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109668040813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64547733 + ... + 64549431.

It is an arithmetic number, because the mean of its divisors is an integer number (2676232650).

Almost surely, 2109668040818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109668040818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128459167200).

109668040818 is an abundant number, since it is smaller than the sum of its proper divisors (147250293582).

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

109668040818 is a wasteful number, since it uses less digits than its factorization.

109668040818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 109668040818 in words is "one hundred nine billion, six hundred sixty-eight million, forty thousand, eight hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 181 294 362 543 1086 1213 1267 1699 2426 2534 3398 3639 3801 5097 7278 7602 8491 8869 10194 11893 16982 17738 23786 25473 26607 35679 50946 53214 59437 71358 83251 118874 166502 178311 219553 249753 307519 356622 439106 499506 615038 658659 922557 1317318 1536871 1845114 2060887 2152633 3073742 4121774 4305266 4610613 6182661 6457899 9221226 10758097 12365322 12915798 14426209 15068431 21516194 28852418 30136862 32274291 43278627 45205293 64548582 86557254 90410586 100983463 201966926 302950389 373020547 605900778 746041094 1119061641 2238123282 2611143829 5222287658 7833431487 15666862974 18278006803 36556013606 54834020409 109668040818