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201994634232 = 233273132728961
BaseRepresentation
bin1011110000011111010…
…0011000001111111000
3201022101100112121021100
42330013310120033320
511302141111243412
6232443422011400
720410421030106
oct2740764301770
9638340477240
10201994634232
1178735783446
1233193716b60
1316081638111
149ac2d80c76
1553c3626edc
hex2f07d183f8

201994634232 has 96 divisors (see below), whose sum is σ = 554999964480. Its totient is φ = 66356858880.

The previous prime is 201994634227. The next prime is 201994634297. The reversal of 201994634232 is 232436499102.

201994634232 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 9 + 4 + 634 + 2 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6960232 + ... + 6989192.

It is an arithmetic number, because the mean of its divisors is an integer number (5781249630).

Almost surely, 2201994634232 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 201994634232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277499982240).

201994634232 is an abundant number, since it is smaller than the sum of its proper divisors (353005330248).

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

201994634232 is a wasteful number, since it uses less digits than its factorization.

201994634232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30373 (or 30366 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 201994634232 in words is "two hundred one billion, nine hundred ninety-four million, six hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1327 1752 2628 2654 3981 5256 5308 7962 10616 11943 15924 23886 28961 31848 47772 57922 86883 95544 96871 115844 173766 193742 231688 260649 290613 347532 387484 521298 581226 695064 774968 871839 1042596 1162452 1743678 2085192 2114153 2324904 3487356 4228306 6342459 6974712 8456612 12684918 16913224 19027377 25369836 38054754 38431247 50739672 76109508 76862494 115293741 152219016 153724988 230587482 307449976 345881223 461174964 691762446 922349928 1383524892 2767049784 2805481031 5610962062 8416443093 11221924124 16832886186 22443848248 25249329279 33665772372 50498658558 67331544744 100997317116 201994634232