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63132411423136 = 25111231145697353
BaseRepresentation
bin11100101101011001010001…
…11101001110100110100000
322021112101210022010000201011
432112230220331032212200
531233330134311020021
6342134343542150304
716204111002631156
oct1626545075164640
9267471708100634
1063132411423136
111913033a4318a0
1270b7598a22394
13292c48ca3b0c3
1411838a708d3d6
15747343bdade1
hex396b28f4e9a0

63132411423136 has 48 divisors (see below), whose sum is σ = 135701349936768. Its totient is φ = 28673238873600.

The previous prime is 63132411423101. The next prime is 63132411423143.

63132411423136 is nontrivially palindromic in base 10.

63132411423136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×631324114231362 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72415365 + ... + 73281988.

It is an arithmetic number, because the mean of its divisors is an integer number (2827111457016).

Almost surely, 263132411423136 is an apocalyptic number.

It is an amenable number.

63132411423136 is an abundant number, since it is smaller than the sum of its proper divisors (72568938513632).

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

63132411423136 is a wasteful number, since it uses less digits than its factorization.

63132411423136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145698605 (or 145698597 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

It can be divided in two parts, 6313241 and 1423136, that added together give a palindrome (7736377).

The spelling of 63132411423136 in words is "sixty-three trillion, one hundred thirty-two billion, four hundred eleven million, four hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1231 2462 4924 9848 13541 19696 27082 39392 54164 108328 216656 433312 145697353 291394706 582789412 1165578824 1602670883 2331157648 3205341766 4662315296 6410683532 12821367064 25642734128 51285468256 179353441543 358706883086 717413766172 1434827532344 1972887856973 2869655064688 3945775713946 5739310129376 7891551427892 15783102855784 31566205711568 63132411423136