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21405234432 = 283129121589
BaseRepresentation
bin10011111011110110…
…011111010100000000
32001020202201120111110
4103323312133110000
5322314220000212
613500004243320
71355304330201
oct237366372400
961222646443
1021405234432
11909477349a
1241946a0540
132031869aba
141070b9b5a8
158542e6a3c
hex4fbd9f500

21405234432 has 72 divisors (see below), whose sum is σ = 57015908320. Its totient is φ = 7129221120.

The previous prime is 21405234371. The next prime is 21405234439. The reversal of 21405234432 is 23443250412.

It is a super-2 number, since 2×214052344322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21405234432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21405234439) 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 7 ways as a sum of consecutive naturals, for example, 980694 + ... + 1002282.

Almost surely, 221405234432 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 21405234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28507954160).

21405234432 is an abundant number, since it is smaller than the sum of its proper divisors (35610673888).

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

21405234432 is a wasteful number, since it uses less digits than its factorization.

21405234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22899 (or 22885 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 21405234432 its reverse (23443250412), we get a palindrome (44848484844).

The spelling of 21405234432 in words is "twenty-one billion, four hundred five million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1291 2582 3873 5164 7746 10328 15492 20656 21589 30984 41312 43178 61968 64767 82624 86356 123936 129534 165248 172712 247872 259068 330496 345424 495744 518136 690848 991488 1036272 1381696 2072544 2763392 4145088 5526784 8290176 16580352 27871399 55742798 83614197 111485596 167228394 222971192 334456788 445942384 668913576 891884768 1337827152 1783769536 2675654304 3567539072 5351308608 7135078144 10702617216 21405234432