Search a number
-
+
194432473680 = 243531113231269
BaseRepresentation
bin1011010100010100010…
…1000001101001010000
3200120212100000001011220
42311011011001221100
511141144203124210
6225153202405040
720022134520564
oct2650505015120
9616770001156
10194432473680
1175505076285
1231823060780
1315447a248c3
1495a68cb6a4
1550ce7b6c70
hex2d45141a50

194432473680 has 160 divisors (see below), whose sum is σ = 627692682240. Its totient is φ = 49731870720.

The previous prime is 194432473633. The next prime is 194432473681. The reversal of 194432473680 is 86374234491.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194432473681) 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, 725086 + ... + 956354.

It is an arithmetic number, because the mean of its divisors is an integer number (3923079264).

Almost surely, 2194432473680 is an apocalyptic number.

194432473680 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 194432473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313846341120).

194432473680 is an abundant number, since it is smaller than the sum of its proper divisors (433260208560).

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

194432473680 is a wasteful number, since it uses less digits than its factorization.

194432473680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231429 (or 231423 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 194432473680 in words is "one hundred ninety-four billion, four hundred thirty-two million, four hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 113 120 124 155 186 226 240 248 310 339 372 452 465 496 565 620 678 744 904 930 1130 1240 1356 1488 1695 1808 1860 2260 2480 2712 3390 3503 3720 4520 5424 6780 7006 7440 9040 10509 13560 14012 17515 21018 27120 28024 35030 42036 52545 56048 70060 84072 105090 140120 168144 210180 231269 280240 420360 462538 693807 840720 925076 1156345 1387614 1850152 2312690 2775228 3469035 3700304 4625380 5550456 6938070 7169339 9250760 11100912 13876140 14338678 18501520 21508017 26133397 27752280 28677356 35846695 43016034 52266794 55504560 57354712 71693390 78400191 86032068 104533588 107540085 114709424 130666985 143386780 156800382 172064136 209067176 215080170 261333970 286773560 313600764 344128272 392000955 418134352 430160340 522667940 573547120 627201528 784001910 810135307 860320680 1045335880 1254403056 1568003820 1620270614 1720641360 2090671760 2430405921 3136007640 3240541228 4050676535 4860811842 6272015280 6481082456 8101353070 9721623684 12152029605 12962164912 16202706140 19443247368 24304059210 32405412280 38886494736 48608118420 64810824560 97216236840 194432473680