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1993283864 = 2311131726029
BaseRepresentation
bin111011011001111…
…0001100100011000
312010220201022102022
41312303301210120
513040240040424
6525442554012
7100252430135
oct16663614430
95126638368
101993283864
1193317a740
12477668908
13259c65410
1414ca2b58c
15b9ed795e
hex76cf1918

1993283864 has 96 divisors (see below), whose sum is σ = 4665049200. Its totient is φ = 787015680.

The previous prime is 1993283857. The next prime is 1993283867. The reversal of 1993283864 is 4683823991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993283867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327602 + ... + 333630.

Almost surely, 21993283864 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 1993283864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332524600).

1993283864 is an abundant number, since it is smaller than the sum of its proper divisors (2671765336).

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

1993283864 is a wasteful number, since it uses less digits than its factorization.

1993283864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6093 (or 6072 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The square root of 1993283864 is about 44646.2077224931. The cubic root of 1993283864 is about 1258.5091681285.

The spelling of 1993283864 in words is "one billion, nine hundred ninety-three million, two hundred eighty-three thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 289 374 442 572 578 748 884 1144 1156 1496 1768 2312 2431 3179 3757 4862 6029 6358 7514 9724 12058 12716 15028 19448 24116 25432 30056 41327 48232 66319 78377 82654 102493 132638 156754 165308 204986 265276 313508 330616 409972 530552 627016 819944 862147 1127423 1332409 1724294 1742381 2254846 2664818 3448588 3484762 4509692 5329636 6897176 6969524 9019384 10659272 13939048 14656499 19166191 22650953 29312998 38332382 45301906 58625996 76664764 90603812 117251992 153329528 181207624 249160483 498320966 996641932 1993283864