Search a number
-
+
31783249020 = 22351954750969
BaseRepresentation
bin11101100110011011…
…011110010001111100
310001001000210100011010
4131212123132101330
51010043002432040
622333453155220
72203422105405
oct354633362174
9101030710133
1031783249020
111252a8a7456
1261b018bb10
132cc696b833
1417772009ac
15c60473e80
hex7666de47c

31783249020 has 96 divisors (see below), whose sum is σ = 93850041600. Its totient is φ = 8014616064.

The previous prime is 31783249019. The next prime is 31783249021. The reversal of 31783249020 is 2094238713.

It is an interprime number because it is at equal distance from previous prime (31783249019) and next prime (31783249021).

It is a self number, because there is not a number n which added to its sum of digits gives 31783249020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31783249021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598096 + ... + 649064.

It is an arithmetic number, because the mean of its divisors is an integer number (977604600).

Almost surely, 231783249020 is an apocalyptic number.

31783249020 is a gapful number since it is divisible by the number (30) 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 31783249020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46925020800).

31783249020 is an abundant number, since it is smaller than the sum of its proper divisors (62066792580).

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

31783249020 is a wasteful number, since it uses less digits than its factorization.

31783249020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51547 (or 51545 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 31783249020 in words is "thirty-one billion, seven hundred eighty-three million, two hundred forty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 547 570 1094 1140 1641 2188 2735 3282 5470 6564 8205 10393 10940 16410 20786 31179 32820 41572 50969 51965 62358 101938 103930 124716 152907 155895 203876 207860 254845 305814 311790 509690 611628 623580 764535 968411 1019380 1529070 1936822 2905233 3058140 3873644 4842055 5810466 9684110 11620932 14526165 19368220 27880043 29052330 55760086 58104660 83640129 111520172 139400215 167280258 278800430 334560516 418200645 529720817 557600860 836401290 1059441634 1589162451 1672802580 2118883268 2648604085 3178324902 5297208170 6356649804 7945812255 10594416340 15891624510 31783249020