Search a number
-
+
194316632304 = 24347254933791
BaseRepresentation
bin1011010011111000101…
…1001000000011110000
3200120120021000200200120
42310332023020003300
511140430024213204
6225133503450240
720016230056614
oct2647613100360
9616507020616
10194316632304
1175455744a03
12317b02b6980
1315429a25802
149595375344
1550c45336d9
hex2d3e2c80f0

194316632304 has 80 divisors (see below), whose sum is σ = 512881459200. Its totient is φ = 63367333120.

The previous prime is 194316632269. The next prime is 194316632339. The reversal of 194316632304 is 403236613491.

It is an interprime number because it is at equal distance from previous prime (194316632269) and next prime (194316632339).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5733649 + ... + 5767439.

It is an arithmetic number, because the mean of its divisors is an integer number (6411018240).

Almost surely, 2194316632304 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 194316632304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256440729600).

194316632304 is an abundant number, since it is smaller than the sum of its proper divisors (318564826896).

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

194316632304 is a wasteful number, since it uses less digits than its factorization.

194316632304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36398 (or 36392 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 194316632304 in words is "one hundred ninety-four billion, three hundred sixteen million, six hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 2549 5098 7647 10196 15294 20392 30588 33791 40784 61176 67582 101373 119803 122352 135164 202746 239606 270328 359409 405492 479212 540656 718818 810984 958424 1437636 1588177 1621968 1916848 2875272 3176354 4764531 5750544 6352708 9529062 12705416 19058124 25410832 38116248 76232496 86133259 172266518 258399777 344533036 516799554 689066072 1033599108 1378132144 2067198216 4048263173 4134396432 8096526346 12144789519 16193052692 24289579038 32386105384 48579158076 64772210768 97158316152 194316632304