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1993845414 = 23113143131173
BaseRepresentation
bin111011011010111…
…1010101010100110
312010221202211201110
41312311322222212
513040411023124
6525503005450
7100260256251
oct16665725246
95127684643
101993845414
11933523630
12477899886
1325a100bb2
1414cb36098
15ba099029
hex76d7aaa6

1993845414 has 128 divisors (see below), whose sum is σ = 4656807936. Its totient is φ = 563472000.

The previous prime is 1993845407. The next prime is 1993845431. The reversal of 1993845414 is 4145483991.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11525032 + ... + 11525204.

It is an arithmetic number, because the mean of its divisors is an integer number (36381312).

Almost surely, 21993845414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993845414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328403968).

1993845414 is an abundant number, since it is smaller than the sum of its proper divisors (2662962522).

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

1993845414 is a wasteful number, since it uses less digits than its factorization.

1993845414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394.

The product of its digits is 622080, while the sum is 48.

The square root of 1993845414 is about 44652.4961676276. The cubic root of 1993845414 is about 1258.6273398686.

The spelling of 1993845414 in words is "one billion, nine hundred ninety-three million, eight hundred forty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 43 62 66 86 93 129 131 173 186 258 262 341 346 393 473 519 682 786 946 1023 1038 1333 1419 1441 1903 2046 2666 2838 2882 3806 3999 4061 4323 5363 5633 5709 7439 7998 8122 8646 10726 11266 11418 12183 14663 14878 16089 16899 22317 22663 24366 29326 32178 33798 43989 44634 44671 45326 58993 61963 67989 81829 87978 89342 117986 123926 134013 135978 163658 174623 176979 185889 230609 245487 249293 268026 349246 353958 371778 461218 490974 498586 523869 691827 702553 747879 974509 1047738 1383654 1405106 1495758 1920853 1949018 2107659 2536699 2923527 3841706 4215318 5073398 5762559 5847054 7610097 7728083 10719599 11525118 15220194 15456166 21439198 23184249 30209779 32158797 46368498 60419558 64317594 90629337 181258674 332307569 664615138 996922707 1993845414