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94141698048 = 2123217150221
BaseRepresentation
bin101011110101101001…
…0000101000000000000
322222222220012202202100
41113223102011000000
53020300233314143
6111125331150400
76541630141656
oct1275322050000
9288886182670
1094141698048
1136a1a597142
12162b3a45400
138b53bc6b98
1447b0db8dd6
1526aec916d3
hex15eb485000

94141698048 has 156 divisors (see below), whose sum is σ = 287929606068. Its totient is φ = 29534453760.

The previous prime is 94141698043. The next prime is 94141698071. The reversal of 94141698048 is 84089614149.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83942313984 + 10199384064 = 289728^2 + 100992^2 .

It is a super-2 number, since 2×941416980482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 94141697985 and 94141698003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94141698043) 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 11 ways as a sum of consecutive naturals, for example, 551578 + ... + 701798.

It is an arithmetic number, because the mean of its divisors is an integer number (1845702603).

Almost surely, 294141698048 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 94141698048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143964803034).

94141698048 is an abundant number, since it is smaller than the sum of its proper divisors (193787908020).

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

94141698048 is a wasteful number, since it uses less digits than its factorization.

94141698048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150268 (or 150243 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 94141698048 in words is "ninety-four billion, one hundred forty-one million, six hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2048 2176 2304 2448 3072 3264 4096 4352 4608 4896 6144 6528 8704 9216 9792 12288 13056 17408 18432 19584 26112 34816 36864 39168 52224 69632 78336 104448 150221 156672 208896 300442 313344 450663 600884 626688 901326 1201768 1351989 1802652 2403536 2553757 2703978 3605304 4807072 5107514 5407956 7210608 7661271 9614144 10215028 10815912 14421216 15322542 19228288 20430056 21631824 22983813 28842432 30645084 38456576 40860112 43263648 45967626 57684864 61290168 76913152 81720224 86527296 91935252 115369728 122580336 153826304 163440448 173054592 183870504 230739456 245160672 307652608 326880896 346109184 367741008 461478912 490321344 615305216 653761792 692218368 735482016 922957824 980642688 1307523584 1384436736 1470964032 1845915648 1961285376 2615047168 2768873472 2941928064 3922570752 5230094336 5537746944 5883856128 7845141504 10460188672 11767712256 15690283008 23535424512 31380566016 47070849024 94141698048