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32313340000 = 25544793373
BaseRepresentation
bin11110000110000001…
…100111000001100000
310002101222020202021101
4132012001213001200
51012134203340000
622502231004144
72222516600224
oct360601470140
9102358222241
1032313340000
1112782046677
126319809654
13307c72b136
1417c778a784
15c91c82e6a
hex786067060

32313340000 has 120 divisors (see below), whose sum is σ = 79685242560. Its totient is φ = 12894528000.

The previous prime is 32313339997. The next prime is 32313340001. The reversal of 32313340000 is 4331323.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 32313340000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32313340001) 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 19 ways as a sum of consecutive naturals, for example, 9578314 + ... + 9581686.

It is an arithmetic number, because the mean of its divisors is an integer number (664043688).

Almost surely, 232313340000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32313340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39842621280).

32313340000 is an abundant number, since it is smaller than the sum of its proper divisors (47371902560).

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

32313340000 is an equidigital number, since it uses as much as digits as its factorization.

32313340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 32313340000 its reverse (4331323), we get a palindrome (32317671323).

The spelling of 32313340000 in words is "thirty-two billion, three hundred thirteen million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 479 500 625 800 958 1000 1250 1916 2000 2395 2500 3373 3832 4000 4790 5000 6746 7664 9580 10000 11975 13492 15328 16865 19160 20000 23950 26984 33730 38320 47900 53968 59875 67460 76640 84325 95800 107936 119750 134920 168650 191600 239500 269840 299375 337300 383200 421625 479000 539680 598750 674600 843250 958000 1197500 1349200 1615667 1686500 1916000 2108125 2395000 2698400 3231334 3373000 4216250 4790000 6462668 6746000 8078335 8432500 9580000 12925336 13492000 16156670 16865000 25850672 32313340 33730000 40391675 51701344 64626680 67460000 80783350 129253360 161566700 201958375 258506720 323133400 403916750 646266800 807833500 1009791875 1292533600 1615667000 2019583750 3231334000 4039167500 6462668000 8078335000 16156670000 32313340000