Search a number
-
+
212661623661048 = 233219155454403261
BaseRepresentation
bin110000010110101000100100…
…100010010010000111111000
31000212222020211012100112211200
4300112220210202102013320
5210333222001124123143
62032143222354454200
762536203165550452
oct6026504442220770
91025866735315750
10212661623661048
1161840319530341
121ba272b7594360
139187b9c564813
143a72c3dc2d2d2
15198bc3bda51d3
hexc16a248921f8

212661623661048 has 48 divisors (see below), whose sum is σ = 606272172721800. Its totient is φ = 67156302208320.

The previous prime is 212661623661013. The next prime is 212661623661049. The reversal of 212661623661048 is 840166326166212.

212661623661048 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 6 + 1 + 623 + 6 + 6 + 1 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212661623660985 and 212661623661003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212661623661049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77727200263 + ... + 77727202998.

Almost surely, 2212661623661048 is an apocalyptic number.

It is an amenable number.

212661623661048 is an abundant number, since it is smaller than the sum of its proper divisors (393610549060752).

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

212661623661048 is a wasteful number, since it uses less digits than its factorization.

212661623661048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155454403292 (or 155454403285 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 212661623661048 in words is "two hundred twelve trillion, six hundred sixty-one billion, six hundred twenty-three million, six hundred sixty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 155454403261 310908806522 466363209783 621817613044 932726419566 1243635226088 1399089629349 1865452839132 2798179258698 2953633661959 3730905678264 5596358517396 5907267323918 8860900985877 11192717034792 11814534647836 17721801971754 23629069295672 26582702957631 35443603943508 53165405915262 70887207887016 106330811830524 212661623661048