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12870403848 = 2333239192819
BaseRepresentation
bin10111111110010001…
…01100011100001000
31020012221221020222000
423333020230130020
5202324310410343
65525041231000
7633640425201
oct137710543410
936187836860
1012870403848
1155050099a5
1225b2332460
1312a1597ca3
148a14725a8
15504da2ed3
hex2ff22c708

12870403848 has 128 divisors (see below), whose sum is σ = 37359360000. Its totient is φ = 4097687616.

The previous prime is 12870403837. The next prime is 12870403933. The reversal of 12870403848 is 84830407821.

12870403848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128704038482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4564183 + ... + 4567001.

It is an arithmetic number, because the mean of its divisors is an integer number (291870000).

Almost surely, 212870403848 is an apocalyptic number.

12870403848 is a gapful number since it is divisible by the number (18) 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 12870403848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18679680000).

12870403848 is an abundant number, since it is smaller than the sum of its proper divisors (24488956152).

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

12870403848 is a wasteful number, since it uses less digits than its factorization.

12870403848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12870403848 in words is "twelve billion, eight hundred seventy million, four hundred three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 919 1242 1656 1838 2484 2757 2819 3676 4968 5514 5638 7352 8271 8457 11028 11276 16542 16914 21137 22056 22552 24813 25371 33084 33828 42274 49626 50742 63411 64837 66168 67656 76113 84548 99252 101484 126822 129674 152226 169096 190233 194511 198504 202968 253644 259348 304452 380466 389022 507288 518696 570699 583533 608904 760932 778044 1141398 1167066 1521864 1556088 1750599 2282796 2334132 2590661 3501198 4565592 4668264 5181322 7002396 7771983 10362644 14004792 15543966 20725288 23315949 31087932 46631898 59585203 62175864 69947847 93263796 119170406 139895694 178755609 186527592 238340812 279791388 357511218 476681624 536266827 559582776 715022436 1072533654 1430044872 1608800481 2145067308 3217600962 4290134616 6435201924 12870403848