Search a number
-
+
381059349930 = 232571423425057
BaseRepresentation
bin1011000101110001110…
…10000011110110101010
31100102120200101122122200
411202320322003312222
522220402143144210
6451020052201030
736350002013610
oct5427072036652
91312520348580
10381059349930
11137674083696
1261a28009176
1329c1a5809ac
141462c8776b0
159da3b840c0
hex58b8e83daa

381059349930 has 96 divisors (see below), whose sum is σ = 1133089012224. Its totient is φ = 87037867008.

The previous prime is 381059349911. The next prime is 381059349941. The reversal of 381059349930 is 39943950183.

It is a happy number.

381059349930 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 593 + 49 + 9 + 3 + 0 = 666.

It is a super-3 number, since 3×3810593499303 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683962 + ... + 1109018.

It is an arithmetic number, because the mean of its divisors is an integer number (11803010544).

Almost surely, 2381059349930 is an apocalyptic number.

381059349930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381059349930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566544506112).

381059349930 is an abundant number, since it is smaller than the sum of its proper divisors (752029662294).

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

381059349930 is a wasteful number, since it uses less digits than its factorization.

381059349930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426500 (or 426497 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 381059349930 in words is "three hundred eighty-one billion, fifty-nine million, three hundred forty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1423 2846 4269 7115 8538 9961 12807 14230 19922 21345 25614 29883 42690 49805 59766 64035 89649 99610 128070 149415 179298 298830 425057 448245 850114 896490 1275171 2125285 2550342 2975399 3825513 4250570 5950798 6375855 7651026 8926197 12751710 14876995 17852394 19127565 26778591 29753990 38255130 44630985 53557182 89261970 133892955 267785910 604856111 1209712222 1814568333 3024280555 3629136666 4233992777 5443704999 6048561110 8467985554 9072841665 10887409998 12701978331 18145683330 21169963885 25403956662 27218524995 38105934993 42339927770 54437049990 63509891655 76211869986 127019783310 190529674965 381059349930