Search a number
-
+
131779451850 = 23529731728571
BaseRepresentation
bin111101010111010101…
…0101101101111001010
3110121010221021202122220
41322232222231233022
54124341014424400
6140312202554510
712343421600424
oct1725652555712
9417127252586
10131779451850
11509840796a2
1221658808a36
13c57174bb17
146541953814
1536641ad7a0
hex1eaeaadbca

131779451850 has 96 divisors (see below), whose sum is σ = 331235424576. Its totient is φ = 34667980800.

The previous prime is 131779451849. The next prime is 131779451857. The reversal of 131779451850 is 58154977131.

It is a junction number, because it is equal to n+sod(n) for n = 131779451793 and 131779451802.

It is not an unprimeable number, because it can be changed into a prime (131779451857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4598065 + ... + 4626635.

It is an arithmetic number, because the mean of its divisors is an integer number (3450369006).

Almost surely, 2131779451850 is an apocalyptic number.

131779451850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131779451850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165617712288).

131779451850 is an abundant number, since it is smaller than the sum of its proper divisors (199455972726).

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

131779451850 is a wasteful number, since it uses less digits than its factorization.

131779451850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29000 (or 28995 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 51.

The spelling of 131779451850 in words is "one hundred thirty-one billion, seven hundred seventy-nine million, four hundred fifty-one thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 97 150 194 291 317 485 582 634 951 970 1455 1585 1902 2425 2910 3170 4755 4850 7275 7925 9510 14550 15850 23775 28571 30749 47550 57142 61498 85713 92247 142855 153745 171426 184494 285710 307490 428565 461235 714275 768725 857130 922470 1428550 1537450 2142825 2306175 2771387 4285650 4612350 5542774 8314161 9057007 13856935 16628322 18114014 27171021 27713870 41570805 45285035 54342042 69284675 83141610 90570070 135855105 138569350 207854025 226425175 271710210 415708050 452850350 679275525 878529679 1358551050 1757059358 2635589037 4392648395 5271178074 8785296790 13177945185 21963241975 26355890370 43926483950 65889725925 131779451850