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20824336630161 = 34271218712
BaseRepresentation
bin1001011110000100010110…
…01100000000000110010001
32201201210020211021011010000
410233002023030000012101
510212141220134131121
6112142322421000213
74246336321535301
oct457021314000621
981653224234100
1020824336630161
1166a9608158219
122403a90253069
13b8095a21128c
1451dc90809601
15261a4e9b1526
hex12f08b300191

20824336630161 has 45 divisors (see below), whose sum is σ = 31239869633049. Its totient is φ = 13824270048600.

The previous prime is 20824336630099. The next prime is 20824336630193. The reversal of 20824336630161 is 16103663342802.

The square root of 20824336630161 is 4563369.

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

20824336630161 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 4 + 3 + 3 + 6 + 630 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 20824336630161 - 213 = 20824336621969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20824336670161) 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, 11130056056 + ... + 11130057926.

Almost surely, 220824336630161 is an apocalyptic number.

20824336630161 is the 4563369-th square number.

20824336630161 is the 2281685-th centered octagonal number.

It is an amenable number.

20824336630161 is a deficient number, since it is larger than the sum of its proper divisors (10415533002888).

20824336630161 is an frugal number, since it uses more digits than its factorization.

20824336630161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

Adding to 20824336630161 its reverse (16103663342802), we get a palindrome (36927999972963).

The spelling of 20824336630161 in words is "twenty trillion, eight hundred twenty-four billion, three hundred thirty-six million, six hundred thirty thousand, one hundred sixty-one".

Divisors: 1 3 9 27 81 271 813 1871 2439 5613 7317 16839 21951 50517 73441 151551 220323 507041 660969 1521123 1982907 3500641 4563369 5948721 10501923 13690107 31505769 41070321 94517307 137408111 283551921 412224333 948673711 1236672999 2846021133 3710018997 8538063399 11130056991 25614190197 76842570591 257090575681 771271727043 2313815181129 6941445543387 20824336630161