Search a number
-
+
61503663105 = 32537211175067
BaseRepresentation
bin111001010001111001…
…110110110000000001
312212202021222210202100
4321101321312300001
52001424414204410
644130540541013
74305055340103
oct712171666001
9185667883670
1061503663105
11240a123a445
12bb05551769
135a52132881
142d9646b573
1518ee7728c0
hexe51e76c01

61503663105 has 48 divisors (see below), whose sum is σ = 110007129024. Its totient is φ = 31763975040.

The previous prime is 61503663103. The next prime is 61503663139. The reversal of 61503663105 is 50136630516.

61503663105 is a `hidden beast` number, since 6 + 15 + 0 + 3 + 6 + 631 + 0 + 5 = 666.

It is not a de Polignac number, because 61503663105 - 21 = 61503663103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61503663105.

It is not an unprimeable number, because it can be changed into a prime (61503663103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263782 + ... + 438848.

It is an arithmetic number, because the mean of its divisors is an integer number (2291815188).

Almost surely, 261503663105 is an apocalyptic number.

It is an amenable number.

61503663105 is a deficient number, since it is larger than the sum of its proper divisors (48503465919).

61503663105 is a wasteful number, since it uses less digits than its factorization.

61503663105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175326 (or 175323 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 61503663105 in words is "sixty-one billion, five hundred three million, six hundred sixty-three thousand, one hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 211 333 555 633 1055 1665 1899 3165 7807 9495 23421 39035 70263 117105 175067 351315 525201 875335 1575603 2626005 6477479 7878015 19432437 32387395 36939137 58297311 97162185 110817411 184695685 291486555 332452233 554087055 1366748069 1662261165 4100244207 6833740345 12300732621 20501221035 61503663105