Search a number
-
+
661895461188 = 22321368310391993
BaseRepresentation
bin10011010000111000000…
…10110011100101000100
32100021110122002021011200
421220130002303211010
541321030214224223
61224023124502500
765551246406433
oct11503402634504
92307418067150
10661895461188
11235787806705
12a834354aa30
134a554cbc360
142407077d11a
151233dbd3a43
hex9a1c0b3944

661895461188 has 144 divisors (see below), whose sum is σ = 1807107644160. Its totient is φ = 203064288768.

The previous prime is 661895461177. The next prime is 661895461207. The reversal of 661895461188 is 881164598166.

661895461188 is a `hidden beast` number, since 6 + 6 + 1 + 8 + 9 + 5 + 4 + 611 + 8 + 8 = 666.

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, 332109120 + ... + 332111112.

It is an arithmetic number, because the mean of its divisors is an integer number (12549358640).

Almost surely, 2661895461188 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 661895461188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903553822080).

661895461188 is an abundant number, since it is smaller than the sum of its proper divisors (1145212182972).

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

661895461188 is a wasteful number, since it uses less digits than its factorization.

661895461188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3733 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 661895461188 in words is "six hundred sixty-one billion, eight hundred ninety-five million, four hundred sixty-one thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 683 1039 1366 1993 2049 2078 2732 3117 3986 4098 4156 5979 6147 6234 7972 8196 8879 9351 11958 12294 12468 13507 17758 17937 18702 23916 24588 25909 26637 27014 35516 35874 37404 40521 51818 53274 54028 71748 77727 79911 81042 103636 106548 121563 155454 159822 162084 233181 243126 310908 319644 466362 486252 709637 932724 1361219 1419274 2070727 2128911 2722438 2838548 4083657 4141454 4257822 5444876 6212181 6386733 8167314 8282908 8515644 9225281 12250971 12424362 12773466 16334628 17695847 18450562 18636543 24501942 24848724 25546932 26919451 27675843 35391694 36901124 37273086 49003884 53087541 53838902 55351686 70783388 74546172 80758353 83027529 106175082 107677804 110703372 159262623 161516706 166055058 212350164 242275059 318525246 323033412 332110116 484550118 637050492 969100236 1414306541 2828613082 4242919623 5657226164 8485839246 12728758869 16971678492 18385985033 25457517738 36771970066 50915035476 55157955099 73543940132 110315910198 165473865297 220631820396 330947730594 661895461188