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12874784104 = 23721319132971
BaseRepresentation
bin10111111110110010…
…11001110101101000
31020020021011210112201
423333121121311220
5202331421042404
65525315145544
7634022600500
oct137731316550
936207153481
1012874784104
115507530946
1225b38a52b4
1312a246c960
148a1c92a00
1550546aca4
hex2ff659d68

12874784104 has 96 divisors (see below), whose sum is σ = 31833496800. Its totient is φ = 4825215360.

The previous prime is 12874784099. The next prime is 12874784107. The reversal of 12874784104 is 40148747821.

It is a happy number.

It is a super-2 number, since 2×128747841042 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12874784107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30339 + ... + 163309.

It is an arithmetic number, because the mean of its divisors is an integer number (331598925).

Almost surely, 212874784104 is an apocalyptic number.

12874784104 is a gapful number since it is divisible by the number (14) 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 12874784104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916748400).

12874784104 is an abundant number, since it is smaller than the sum of its proper divisors (18958712696).

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

12874784104 is a wasteful number, since it uses less digits than its factorization.

12874784104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133023 (or 133012 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 46.

The spelling of 12874784104 in words is "twelve billion, eight hundred seventy-four million, seven hundred eighty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 49 52 56 76 91 98 104 133 152 182 196 247 266 364 392 494 532 637 728 931 988 1064 1274 1729 1862 1976 2548 3458 3724 5096 6916 7448 12103 13832 24206 48412 96824 132971 265942 531884 930797 1063768 1728623 1861594 2526449 3457246 3723188 5052898 6515579 6914492 7446376 10105796 12100361 13031158 13828984 17685143 20211592 24200722 26062316 32843837 35370286 48401444 52124632 65687674 70740572 84702527 96802888 123796001 131375348 141481144 169405054 229906859 247592002 262750696 338810108 459813718 495184004 677620216 919627436 990368008 1609348013 1839254872 3218696026 6437392052 12874784104