Search a number
-
+
382605381108 = 2232312113162251
BaseRepresentation
bin1011001000101010000…
…11101100110111110100
31100120120102112011201200
411210111003230313310
522232033434143413
6451433321052500
736433214036256
oct5442503546764
91316512464650
10382605381108
11138297843805
1262199927130
132a10596ba42
1414737d1dcd6
159e44772573
hex59150ecdf4

382605381108 has 72 divisors (see below), whose sum is σ = 998818119936. Its totient is φ = 123361920000.

The previous prime is 382605381107. The next prime is 382605381127. The reversal of 382605381108 is 801183506283.

382605381108 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 0 + 538 + 1 + 108 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382605381107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2276983 + ... + 2439233.

It is an arithmetic number, because the mean of its divisors is an integer number (13872473888).

Almost surely, 2382605381108 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 382605381108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499409059968).

382605381108 is an abundant number, since it is smaller than the sum of its proper divisors (616212738828).

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

382605381108 is a wasteful number, since it uses less digits than its factorization.

382605381108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164405 (or 164400 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 382605381108 in words is "three hundred eighty-two billion, six hundred five million, three hundred eighty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 2113 4226 6339 8452 12678 19017 25356 38034 65503 76068 131006 162251 196509 262012 324502 393018 486753 589527 649004 786036 973506 1179054 1460259 1947012 2358108 2920518 5029781 5841036 10059562 15089343 20119124 30178686 45268029 60357372 90536058 181072116 342836363 685672726 1028509089 1371345452 2057018178 3085527267 4114036356 6171054534 10627927253 12342109068 21255854506 31883781759 42511709012 63767563518 95651345277 127535127036 191302690554 382605381108