Search a number
-
+
21188586969 = 321144012
BaseRepresentation
bin10011101110111100…
…000010110111011001
32000200200001202001100
4103232330002313121
5321343234240334
613422304542013
71350034006014
oct235674026731
960620052040
1021188586969
118a93450000
124134021909
131cc8a04334
1410500c437b
1584029ec99
hex4eef02dd9

21188586969 has 45 divisors (see below), whose sum is σ = 33750266095. Its totient is φ = 12809544000.

The previous prime is 21188586967. The next prime is 21188587001. The reversal of 21188586969 is 96968588112.

The square root of 21188586969 is 145563.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20977756569 + 210830400 = 144837^2 + 14520^2 .

It is not a de Polignac number, because 21188586969 - 21 = 21188586967 is a prime.

It is a super-2 number, since 2×211885869692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21188586961) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52839169 + ... + 52839569.

Almost surely, 221188586969 is an apocalyptic number.

21188586969 is the 145563-rd square number.

21188586969 is the 72782-nd centered octagonal number.

It is an amenable number.

21188586969 is a deficient number, since it is larger than the sum of its proper divisors (12561679126).

21188586969 is an frugal number, since it uses more digits than its factorization.

21188586969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 415 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 63.

The spelling of 21188586969 in words is "twenty-one billion, one hundred eighty-eight million, five hundred eighty-six thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 33 99 121 363 401 1089 1203 1331 3609 3993 4411 11979 13233 14641 39699 43923 48521 131769 145563 160801 436689 482403 533731 1447209 1601193 1768811 4803579 5306433 5871041 15919299 17613123 19456921 52839369 58370763 175112289 214026131 642078393 1926235179 2354287441 7062862323 21188586969