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21475705168 = 24192373172
BaseRepresentation
bin10100000000000011…
…010100000101010000
32001102200022212011201
4110000003110011100
5322440240031133
613511002520544
71360121324221
oct240003240520
961380285151
1021475705168
119120526175
1241b4206154
132043341968
14107a2a3248
1585a5b6d7d
hex5000d4150

21475705168 has 90 divisors (see below), whose sum is σ = 45243996126. Its totient is φ = 9866541312.

The previous prime is 21475705133. The next prime is 21475705169. The reversal of 21475705168 is 86150757412.

It can be written as a sum of positive squares in 3 ways, for example, as 116467264 + 21359237904 = 10792^2 + 146148^2 .

It is a super-2 number, since 2×214757051682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21475705169) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67746546 + ... + 67746862.

Almost surely, 221475705168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21475705168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22621998063).

21475705168 is an abundant number, since it is smaller than the sum of its proper divisors (23768290958).

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

21475705168 is an equidigital number, since it uses as much as digits as its factorization.

21475705168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

The spelling of 21475705168 in words is "twenty-one billion, four hundred seventy-five million, seven hundred five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 317 361 592 634 703 722 1268 1406 1444 2536 2812 2888 5072 5624 5776 6023 11248 11729 12046 13357 23458 24092 26714 46916 48184 53428 93832 96368 100489 106856 114437 187664 200978 213712 222851 228874 401956 445702 457748 803912 891404 915496 1607824 1782808 1830992 1909291 3565616 3718093 3818582 4234169 7436186 7637164 8468338 14872372 15274328 16936676 29744744 30548656 33873352 36276529 59489488 67746704 70643767 72553058 141287534 145106116 282575068 290212232 565150136 580424464 1130300272 1342231573 2684463146 5368926292 10737852584 21475705168