Search a number
-
+
12356551380 = 2235436771483
BaseRepresentation
bin10111000001000001…
…00000001011010100
31011220011000211220010
423200200200023110
5200301234121010
65402043440220
7615130645065
oct134040401324
934804024803
1012356551380
115270a50a38
12248a226070
13121bca2984
1485311256c
154c4c00620
hex2e08202d4

12356551380 has 96 divisors (see below), whose sum is σ = 35931861504. Its totient is φ = 3170369664.

The previous prime is 12356551343. The next prime is 12356551381. The reversal of 12356551380 is 8315565321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12356551381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137119 + ... + 208601.

It is an arithmetic number, because the mean of its divisors is an integer number (374290224).

Almost surely, 212356551380 is an apocalyptic number.

12356551380 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 12356551380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17965930752).

12356551380 is an abundant number, since it is smaller than the sum of its proper divisors (23575310124).

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

12356551380 is a wasteful number, since it uses less digits than its factorization.

12356551380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71605 (or 71603 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 12356551380 in words is "twelve billion, three hundred fifty-six million, five hundred fifty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 67 86 129 134 172 201 215 258 268 335 402 430 516 645 670 804 860 1005 1290 1340 2010 2580 2881 4020 5762 8643 11524 14405 17286 28810 34572 43215 57620 71483 86430 142966 172860 214449 285932 357415 428898 714830 857796 1072245 1429660 2144490 3073769 4288980 4789361 6147538 9221307 9578722 12295076 14368083 15368845 18442614 19157444 23946805 28736166 30737690 36885228 46106535 47893610 57472332 61475380 71840415 92213070 95787220 143680830 184426140 205942523 287361660 411885046 617827569 823770092 1029712615 1235655138 2059425230 2471310276 3089137845 4118850460 6178275690 12356551380