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216630136541 = 71373229142403
BaseRepresentation
bin1100100111000000101…
…0011000111011011101
3202201011022211011010102
43021300022120323131
512022124303332131
6243303555350445
721436203531050
oct3116012307335
9681138734112
10216630136541
11839660789a5
1235b98bb2425
13175747c3160
14a6b0a02a97
15597d43c1cb
hex3270298edd

216630136541 has 32 divisors (see below), whose sum is σ = 271456200960. Its totient is φ = 168312328704.

The previous prime is 216630136529. The next prime is 216630136571. The reversal of 216630136541 is 145631036612.

216630136541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216630136541 - 26 = 216630136477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 216630136495 and 216630136504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216630136571) 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 31 ways as a sum of consecutive naturals, for example, 1450046 + ... + 1592448.

It is an arithmetic number, because the mean of its divisors is an integer number (8483006280).

Almost surely, 2216630136541 is an apocalyptic number.

It is an amenable number.

216630136541 is a deficient number, since it is larger than the sum of its proper divisors (54826064419).

216630136541 is a wasteful number, since it uses less digits than its factorization.

216630136541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142725.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 216630136541 in words is "two hundred sixteen billion, six hundred thirty million, one hundred thirty-six thousand, five hundred forty-one".

Divisors: 1 7 13 73 91 229 511 949 1603 2977 6643 16717 20839 117019 142403 217321 996821 1521247 1851239 10395419 12958673 32610287 72767933 135140447 228272009 423933731 945983129 2380550951 2967536117 16663856657 30947162363 216630136541