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21300795945 = 325111329114143
BaseRepresentation
bin10011110101101000…
…000101101000101001
32000222111012112211100
4103311220011220221
5322111000432240
613441353552013
71352565530622
oct236550055051
960874175740
1021300795945
1190408202a0
124165715609
132016030c90
141060d72a49
1584a066e30
hex4f5a05a29

21300795945 has 96 divisors (see below), whose sum is σ = 44872289280. Its totient is φ = 9204410880.

The previous prime is 21300795941. The next prime is 21300795953. The reversal of 21300795945 is 54959700312.

It is a happy number.

21300795945 is a `hidden beast` number, since 21 + 30 + 0 + 7 + 9 + 594 + 5 = 666.

It is not a de Polignac number, because 21300795945 - 22 = 21300795941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 21300795945.

It is not an unprimeable number, because it can be changed into a prime (21300795941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129544 + ... + 243686.

It is an arithmetic number, because the mean of its divisors is an integer number (467419680).

Almost surely, 221300795945 is an apocalyptic number.

It is an amenable number.

21300795945 is an abundant number, since it is smaller than the sum of its proper divisors (23571493335).

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

21300795945 is a wasteful number, since it uses less digits than its factorization.

21300795945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114207 (or 114204 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 21300795945 in words is "twenty-one billion, three hundred million, seven hundred ninety-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 13 15 29 33 39 45 55 65 87 99 117 143 145 165 195 261 319 377 429 435 495 585 715 957 1131 1287 1305 1595 1885 2145 2871 3393 4147 4785 5655 6435 12441 14355 16965 20735 37323 62205 114143 186615 342429 570715 1027287 1255573 1483859 1712145 3310147 3766719 4451577 5136435 6277865 7419295 9930441 11300157 13354731 16322449 16550735 18833595 22257885 29791323 36411617 43031911 48967347 49652205 56500785 66773655 81612245 109234851 129095733 146902041 148956615 182058085 215159555 244836735 327704553 387287199 473351021 546174255 645478665 734510205 1420053063 1638522765 1936435995 2366755105 4260159189 7100265315 21300795945