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21453635412 = 22321124925077
BaseRepresentation
bin10011111110101111…
…000111111101010100
32001101010210121011100
4103332233013331110
5322414112313122
613504453510100
71356432615006
oct237657077524
961333717140
1021453635412
11910a021900
1241a8942330
13203b8b5431
14107739a376
158586a7aac
hex4febc7f54

21453635412 has 54 divisors (see below), whose sum is σ = 59608219034. Its totient is φ = 6501100320.

The previous prime is 21453635377. The next prime is 21453635419.

21453635412 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 3 + 635 + 4 + 12 = 666.

21453635412 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 14603755716 + 6849879696 = 120846^2 + 82764^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21453635419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2458183 + ... + 2466894.

Almost surely, 221453635412 is an apocalyptic number.

21453635412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21453635412 is an abundant number, since it is smaller than the sum of its proper divisors (38154583622).

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

21453635412 is a wasteful number, since it uses less digits than its factorization.

21453635412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925109 (or 4925093 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 21453635412 in words is "twenty-one billion, four hundred fifty-three million, six hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 4925077 9850154 14775231 19700308 29550462 44325693 54175847 59100924 88651386 108351694 162527541 177302772 216703388 325055082 487582623 595934317 650110164 975165246 1191868634 1787802951 1950330492 2383737268 3575605902 5363408853 7151211804 10726817706 21453635412