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21017148975 = 355229119297
BaseRepresentation
bin10011100100101110…
…000011111000101111
32000020201110210100000
4103210232003320233
5321020342231400
613353302235343
71342552550544
oct234456037057
960221423300
1021017148975
118a056a6109
1240a6725b53
131c9c33a634
141035418bcb
158301d8600
hex4e4b83e2f

21017148975 has 72 divisors (see below), whose sum is σ = 40384758960. Its totient is φ = 10822533120.

The previous prime is 21017148973. The next prime is 21017148979. The reversal of 21017148975 is 57984171012.

It is a happy number.

It is not a de Polignac number, because 21017148975 - 21 = 21017148973 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 21017148975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21017148973) 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 71 ways as a sum of consecutive naturals, for example, 116527 + ... + 235823.

It is an arithmetic number, because the mean of its divisors is an integer number (560899430).

Almost surely, 221017148975 is an apocalyptic number.

21017148975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21017148975 is a deficient number, since it is larger than the sum of its proper divisors (19367609985).

21017148975 is a wasteful number, since it uses less digits than its factorization.

21017148975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119351 (or 119334 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 21017148975 in words is "twenty-one billion, seventeen million, one hundred forty-eight thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 243 261 405 435 675 725 783 1215 1305 2025 2175 2349 3915 6075 6525 7047 11745 19575 35235 58725 119297 176175 357891 596485 1073673 1789455 2982425 3221019 3459613 5368365 8947275 9663057 10378839 16105095 17298065 26841825 28989171 31136517 48315285 51894195 80525475 86490325 93409551 144945855 155682585 241576425 259470975 280228653 467047755 724729275 778412925 840685959 1401143265 2335238775 4203429795 7005716325 21017148975