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382636801057 = 71719286310321
BaseRepresentation
bin1011001000101101110…
…11100011110000100001
31100120122121122110210111
411210112323203300201
522232120010113212
6451440402331321
736434045100520
oct5442673436041
91316577573714
10382636801057
11138303554005
12621a8359b41
132a10c320124
141473c17c4b7
159e473cbea7
hex5916ee3c21

382636801057 has 48 divisors (see below), whose sum is σ = 489288563712. Its totient is φ = 292068218880.

The previous prime is 382636801037. The next prime is 382636801061. The reversal of 382636801057 is 750108636283.

It is not a de Polignac number, because 382636801057 - 223 = 382628412449 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 382636801057.

It is not an unprimeable number, because it can be changed into a prime (382636801037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37068457 + ... + 37078777.

It is an arithmetic number, because the mean of its divisors is an integer number (10193511744).

Almost surely, 2382636801057 is an apocalyptic number.

It is an amenable number.

382636801057 is a deficient number, since it is larger than the sum of its proper divisors (106651762655).

382636801057 is a wasteful number, since it uses less digits than its factorization.

382636801057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11246 (or 11227 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 382636801057 in words is "three hundred eighty-two billion, six hundred thirty-six million, eight hundred one thousand, fifty-seven".

Divisors: 1 7 17 19 119 133 323 361 863 2261 2527 6041 6137 10321 14671 16397 42959 72247 102697 114779 175457 196099 278749 311543 1228199 1372693 1951243 2180801 3333683 3725881 5296231 8907023 23335781 26081167 37073617 62349161 63339977 151419391 169233437 443379839 1059935737 1184634059 2876968429 3215435303 20138779003 22508047121 54662400151 382636801057