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1838382000630 = 2357102121434001
BaseRepresentation
bin11010110000001000000…
…110110010100111110110
320111202012000001211002120
4122300020012302213312
5220110001243010010
63524312510220410
7246550551114360
oct32601006624766
96452160054076
101838382000630
1164972079286a
1225835a4b4706
1310448802c096
1464d9a11bd30
1532c49487e70
hex1ac081b29f6

1838382000630 has 128 divisors (see below), whose sum is σ = 5050975297536. Its totient is φ = 419489280000.

The previous prime is 1838382000593. The next prime is 1838382000737. The reversal of 1838382000630 is 360002838381.

It is a super-2 number, since 2×18383820006302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 459478630 + ... + 459482630.

It is an arithmetic number, because the mean of its divisors is an integer number (39460744512).

Almost surely, 21838382000630 is an apocalyptic number.

1838382000630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1838382000630 is an abundant number, since it is smaller than the sum of its proper divisors (3212593296906).

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

1838382000630 is a wasteful number, since it uses less digits than its factorization.

1838382000630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7182.

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 1838382000630 in words is "one trillion, eight hundred thirty-eight billion, three hundred eighty-two million, six hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 1021 2042 2143 3063 4001 4286 5105 6126 6429 7147 8002 10210 10715 12003 12858 14294 15001 15315 20005 21430 21441 24006 28007 30002 30630 32145 35735 40010 42882 45003 56014 60015 64290 71470 75005 84021 90006 107205 120030 140035 150010 168042 214410 225015 280070 420105 450030 840210 2188003 4085021 4376006 6564009 8170042 8574143 10940015 12255063 13128018 15316021 17148286 20425105 21880030 24510126 25722429 28595147 30632042 32820045 40850210 42870715 45948063 51444858 57190294 60019001 61275315 65640090 76580105 85741430 85785441 91896126 120038002 122550630 128612145 142975735 153160210 171570882 180057003 229740315 257224290 285951470 300095005 360114006 428927205 459480630 600190010 857854410 900285015 1800570030 8754200003 17508400006 26262600009 43771000015 52525200018 61279400021 87542000030 122558800042 131313000045 183838200063 262626000090 306397000105 367676400126 612794000210 919191000315 1838382000630