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61640116658883 = 3272199377851121
BaseRepresentation
bin11100000001111101101010…
…10000011110001011000011
322002020201220201020102100100
432000332311100132023003
531034402424331041013
6335033024554253443
715661231360500600
oct1600766520361303
9262221821212310
1061640116658883
1118705476999134
126ab6326427283
13285183aa80cb9
14113157ccbb6a7
1571d603014473
hex380fb541e2c3

61640116658883 has 72 divisors (see below), whose sum is σ = 109139703101520. Its totient is φ = 33333468779520.

The previous prime is 61640116658851. The next prime is 61640116658917. The reversal of 61640116658883 is 38885661104616.

61640116658883 is a `hidden beast` number, since 6 + 1 + 6 + 40 + 1 + 1 + 6 + 6 + 588 + 8 + 3 = 666.

It is a Cunningham number, because it is equal to 78511222-1.

It is not a de Polignac number, because 61640116658883 - 25 = 61640116658851 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 61640116658883.

It is not an unprimeable number, because it can be changed into a prime (61640116658833) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3925563 + ... + 11776683.

Almost surely, 261640116658883 is an apocalyptic number.

61640116658883 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

61640116658883 is a deficient number, since it is larger than the sum of its proper divisors (47499586442637).

61640116658883 is a wasteful number, since it uses less digits than its factorization.

61640116658883 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852097 (or 7852087 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 61640116658883 in words is "sixty-one trillion, six hundred forty billion, one hundred sixteen million, six hundred fifty-eight thousand, eight hundred eighty-three".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 931 937 1197 2793 2811 6559 8379 8433 17803 19677 45913 53409 59031 124621 137739 160227 373863 413217 872347 1121589 2617041 7851121 7851123 23553363 54957847 70660089 149171299 164873541 384704929 447513897 494620623 1044199093 1154114787 1342541691 3132597279 3462344361 7309393651 7356500377 9397791837 21928180953 22069501131 51495502639 65784542859 66208503393 139773507163 154486507917 360468518473 419320521489 463459523751 978414550141 1081405555419 1257961564467 2935243650423 3244216666257 6848901850987 8805730951269 20546705552961 61640116658883