Search a number
-
+
13791204048 = 2431576592777
BaseRepresentation
bin11001101100000010…
…10001001011010000
31022121010120202101010
430312001101023100
5211221022012143
610200253210520
7665521204656
oct146601211320
938533522333
1013791204048
1159378587a6
12280a790a40
1313ba29508b
1494b884dd6
1555ab3ca33
hex3360512d0

13791204048 has 80 divisors (see below), whose sum is σ = 35921540160. Its totient is φ = 4559213568.

The previous prime is 13791204043. The next prime is 13791204101. The reversal of 13791204048 is 84040219731.

It is a junction number, because it is equal to n+sod(n) for n = 13791203997 and 13791204015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13791204043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4964836 + ... + 4967612.

It is an arithmetic number, because the mean of its divisors is an integer number (449019252).

Almost surely, 213791204048 is an apocalyptic number.

It is an amenable number.

13791204048 is an abundant number, since it is smaller than the sum of its proper divisors (22130336112).

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

13791204048 is a wasteful number, since it uses less digits than its factorization.

13791204048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 13791204048 in words is "thirteen billion, seven hundred ninety-one million, two hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 314 471 628 659 942 1256 1318 1884 1977 2512 2636 2777 3768 3954 5272 5554 7536 7908 8331 10544 11108 15816 16662 22216 31632 33324 44432 66648 103463 133296 206926 310389 413852 435989 620778 827704 871978 1241556 1307967 1655408 1743956 1830043 2483112 2615934 3487912 3660086 4966224 5231868 5490129 6975824 7320172 10463736 10980258 14640344 20927472 21960516 29280688 43921032 87842064 287316751 574633502 861950253 1149267004 1723900506 2298534008 3447801012 4597068016 6895602024 13791204048