Search a number
-
+
63113763504051 = 32131990913123007
BaseRepresentation
bin11100101100110110100010…
…11101000011111110110011
322021110121122200202120210100
432112123101131003332303
531233023441424112201
6342122021312403443
716202550616140141
oct1626332135037663
9267417580676710
1063113763504051
1119123440142217
1270b3a53846583
13292a7aa504a60
141182a185a4591
15746b019eb886
hex3966d1743fb3

63113763504051 has 48 divisors (see below), whose sum is σ = 103355574999040. Its totient is φ = 36791009403840.

The previous prime is 63113763504019. The next prime is 63113763504079. The reversal of 63113763504051 is 15040536731136.

63113763504051 is a `hidden beast` number, since 6 + 3 + 1 + 1 + 3 + 7 + 635 + 0 + 4 + 0 + 5 + 1 = 666.

It is not a de Polignac number, because 63113763504051 - 25 = 63113763504019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63113763503988 and 63113763504006.

It is not an unprimeable number, because it can be changed into a prime (63113763504251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18647790 + ... + 21770796.

Almost surely, 263113763504051 is an apocalyptic number.

63113763504051 is a deficient number, since it is larger than the sum of its proper divisors (40241811494989).

63113763504051 is a wasteful number, since it uses less digits than its factorization.

63113763504051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132136 (or 3132133 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 63113763504051 in words is "sixty-three trillion, one hundred thirteen billion, seven hundred sixty-three million, five hundred four thousand, fifty-one".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 2223 9091 27273 81819 118183 172729 354549 518187 1063647 1554561 2245477 3123007 6736431 9369021 20209293 28107063 40599091 59337133 121797273 178011399 365391819 534034197 771382729 2314148187 6942444561 28391256637 85173769911 255521309733 369086336281 539433876103 1107259008843 1618301628309 3321777026529 4854904884927 7012640389339 21037921168017 63113763504051