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3816813000 = 23353711133141
BaseRepresentation
bin1110001101111111…
…1111000111001000
3100212000000012010110
43203133333013020
530304101004000
61430423314320
7163404242460
oct34337770710
910760005113
103816813000
111689545110
128a62ab9a0
1348a9a3040
14282caaba0
1517513c850
hexe37ff1c8

3816813000 has 1024 divisors, whose sum is σ = 16907304960. Its totient is φ = 691200000.

The previous prime is 3816812983. The next prime is 3816813001. The reversal of 3816813000 is 3186183.

It is a super-2 number, since 2×38168130002 = 29136122953938000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3816813001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 93092980 + ... + 93093020.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 23816813000 is an apocalyptic number.

3816813000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3816813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453652480).

3816813000 is an abundant number, since it is smaller than the sum of its proper divisors (13090491960).

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

3816813000 is a wasteful number, since it uses less digits than its factorization.

3816813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3816813000 is about 61780.3609571844. The cubic root of 3816813000 is about 1562.7888148784.

Adding to 3816813000 its reverse (3186183), we get a palindrome (3819999183).

The spelling of 3816813000 in words is "three billion, eight hundred sixteen million, eight hundred thirteen thousand".