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193368433103694 = 2321719158032104607
BaseRepresentation
bin101011111101111000011000…
…110001000001001101001110
3221100122211201120112222011100
4223331320120301001031032
5200321122022333304234
61523132122024003530
755505260014622542
oct5375703061011516
9840584646488140
10193368433103694
1156682101422a52
12198301210005a6
1383b87463c4624
1435a71213cba22
151754e53cee399
hexafde18c4134e

193368433103694 has 96 divisors (see below), whose sum is σ = 466987596641280. Its totient is φ = 57468068372736.

The previous prime is 193368433103669. The next prime is 193368433103701. The reversal of 193368433103694 is 496301334863391.

193368433103694 is a `hidden beast` number, since 1 + 9 + 3 + 3 + 6 + 8 + 433 + 103 + 6 + 94 = 666.

193368433103694 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90826339 + ... + 92930945.

It is an arithmetic number, because the mean of its divisors is an integer number (4864454131680).

Almost surely, 2193368433103694 is an apocalyptic number.

193368433103694 is an abundant number, since it is smaller than the sum of its proper divisors (273619163537586).

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

193368433103694 is a wasteful number, since it uses less digits than its factorization.

193368433103694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120454 (or 2120451 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 63.

The spelling of 193368433103694 in words is "one hundred ninety-three trillion, three hundred sixty-eight billion, four hundred thirty-three million, one hundred three thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1938 2907 5814 15803 31606 47409 94818 142227 268651 284454 300257 537302 600514 805953 900771 1611906 1801542 2104607 2417859 2702313 4209214 4835718 5104369 5404626 6313821 10208738 12627642 15313107 18941463 30626214 35778319 37882926 39987533 45939321 71556638 79975066 91878642 107334957 119962599 214669914 239925198 322004871 359887797 644009742 679788061 719775594 1359576122 2039364183 4078728366 6118092549 12236185098 33259104421 66518208842 99777313263 199554626526 299331939789 565404775157 598663879578 631922983999 1130809550314 1263845967998 1696214325471 1895768951997 3392428650942 3791537903994 5088642976413 5687306855991 10177285952826 10742690727983 11374613711982 21485381455966 32228072183949 64456144367898 96684216551847 193368433103694