Search a number
-
+
12798673920 = 210395127
BaseRepresentation
bin10111110101101110…
…00100010000000000
31020000221222000000000
423322313010100000
5202202430031140
65514000000000
7632106635064
oct137267042000
936027860000
1012798673920
11547857716a
122592300000
13128c771c46
14895b1daa4
154ed934a30
hex2fadc4400

12798673920 has 440 divisors, whose sum is σ = 46414562304. Its totient is φ = 3386105856.

The previous prime is 12798673891. The next prime is 12798673967. The reversal of 12798673920 is 2937689721.

It is a super-2 number, since 2×127986739202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100776897 + ... + 100777023.

Almost surely, 212798673920 is an apocalyptic number.

12798673920 is a gapful number since it is divisible by the number (10) 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 12798673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23207281152).

12798673920 is an abundant number, since it is smaller than the sum of its proper divisors (33615888384).

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

12798673920 is an frugal number, since it uses more digits than its factorization.

12798673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12798673920 in words is "twelve billion, seven hundred ninety-eight million, six hundred seventy-three thousand, nine hundred twenty".