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21345452541 = 3278318892161
BaseRepresentation
bin10011111000010010…
…011100000111111101
32001002121020100011100
4103320102130013331
5322203413440131
613450031043313
71353650232030
oct237022340775
961077210140
1021345452541
119063a51476
124178670539
1320223681ba
141066c79017
1584de387e6
hex4f849c1fd

21345452541 has 48 divisors (see below), whose sum is σ = 35696868480. Its totient is φ = 12038492160.

The previous prime is 21345452449. The next prime is 21345452543. The reversal of 21345452541 is 14525454312.

21345452541 is a `hidden beast` number, since 2 + 13 + 4 + 54 + 52 + 541 = 666.

It is not a de Polignac number, because 21345452541 - 214 = 21345436157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21345452496 and 21345452505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21345452543) 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 47 ways as a sum of consecutive naturals, for example, 9876501 + ... + 9878661.

It is an arithmetic number, because the mean of its divisors is an integer number (743684760).

Almost surely, 221345452541 is an apocalyptic number.

21345452541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21345452541 is a deficient number, since it is larger than the sum of its proper divisors (14351415939).

21345452541 is a wasteful number, since it uses less digits than its factorization.

21345452541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4143 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 21345452541 in words is "twenty-one billion, three hundred forty-five million, four hundred fifty-two thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 63 83 249 581 747 1743 1889 2161 5229 5667 6483 13223 15127 17001 19449 39669 45381 119007 136143 156787 179363 470361 538089 1097509 1255541 1411083 1614267 3292527 3766623 4082129 9877581 11299869 12246387 28574903 36739161 85724709 257174127 338816707 1016450121 2371716949 3049350363 7115150847 21345452541