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100683744468 = 223176171113957
BaseRepresentation
bin101110111000100111…
…0000000010011010100
3100121212211020011022220
41131301032000103110
53122200014310333
6114130430022340
710163015464416
oct1356116002324
9317784204286
10100683744468
113977739247a
121761a9479b0
139657379b78
144c31ba69b6
15294429a8b3
hex17713804d4

100683744468 has 96 divisors (see below), whose sum is σ = 256389090048. Its totient is φ = 30631372800.

The previous prime is 100683744443. The next prime is 100683744547. The reversal of 100683744468 is 864447386001.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 100683744468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826546 + ... + 940502.

It is an arithmetic number, because the mean of its divisors is an integer number (2670719688).

Almost surely, 2100683744468 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 100683744468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128194545024).

100683744468 is an abundant number, since it is smaller than the sum of its proper divisors (155705345580).

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

100683744468 is a wasteful number, since it uses less digits than its factorization.

100683744468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114113 (or 114111 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 100683744468 in words is "one hundred billion, six hundred eighty-three million, seven hundred forty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 71 102 122 142 183 204 213 244 284 366 426 732 852 1037 1207 2074 2414 3111 3621 4148 4331 4828 6222 7242 8662 12444 12993 14484 17324 25986 51972 73627 113957 147254 220881 227914 294508 341871 441762 455828 683742 883524 1367484 1937269 3874538 5811807 6951377 7749076 8090947 11623614 13902754 16181894 20854131 23247228 24272841 27805508 32363788 41708262 48545682 83416524 97091364 118173409 137546099 236346818 275092198 354520227 412638297 472693636 493547767 550184396 709040454 825276594 987095534 1418080908 1480643301 1650553188 1974191068 2961286602 5922573204 8390312039 16780624078 25170936117 33561248156 50341872234 100683744468