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3800120616 = 233331599619
BaseRepresentation
bin1110001010000001…
…0011110100101000
3100210211121010111000
43202200103310220
530240312324431
61425025435000
7163112330565
oct34240236450
910724533430
103800120616
111680083956
128a079ba60
134873aa2a6
142809a386c
151739419e6
hexe2813d28

3800120616 has 128 divisors (see below), whose sum is σ = 11082240000. Its totient is φ = 1204943040.

The previous prime is 3800120603. The next prime is 3800120663. The reversal of 3800120616 is 6160210083.

3800120616 is a `hidden beast` number, since 38 + 0 + 0 + 12 + 0 + 616 = 666.

It is a super-2 number, since 2×38001206162 = 28881833392296438912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3800120616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390255 + ... + 399873.

It is an arithmetic number, because the mean of its divisors is an integer number (86580000).

Almost surely, 23800120616 is an apocalyptic number.

3800120616 is a gapful number since it is divisible by the number (36) 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 3800120616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541120000).

3800120616 is an abundant number, since it is smaller than the sum of its proper divisors (7282119384).

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

3800120616 is a wasteful number, since it uses less digits than its factorization.

3800120616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9714 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3800120616 is about 61645.1183468732. The cubic root of 3800120616 is about 1560.5072610729.

Adding to 3800120616 its reverse (6160210083), we get a palindrome (9960330699).

The spelling of 3800120616 in words is "three billion, eight hundred million, one hundred twenty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 59 62 72 93 108 118 124 177 186 216 236 248 279 354 372 472 531 558 708 744 837 1062 1116 1416 1593 1674 1829 2124 2232 3186 3348 3658 4248 5487 6372 6696 7316 9619 10974 12744 14632 16461 19238 21948 28857 32922 38476 43896 49383 57714 65844 76952 86571 98766 115428 131688 173142 197532 230856 259713 298189 346284 395064 519426 567521 596378 692568 894567 1038852 1135042 1192756 1702563 1789134 2077704 2270084 2385512 2683701 3405126 3578268 4540168 5107689 5367402 6810252 7156536 8051103 10215378 10734804 13620504 15323067 16102206 17593151 20430756 21469608 30646134 32204412 35186302 40861512 52779453 61292268 64408824 70372604 105558906 122584536 140745208 158338359 211117812 316676718 422235624 475015077 633353436 950030154 1266706872 1900060308 3800120616