Search a number
-
+
24012421008 = 24319112923321
BaseRepresentation
bin10110010111010000…
…000111011110010000
32021222110121101010020
4112113100013132100
5343134134433013
615010421303440
71510023132222
oct262720073620
967873541106
1024012421008
11a202427344
1247a1864b80
132358a57b54
14123b150412
15958146623
hex597407790

24012421008 has 80 divisors (see below), whose sum is σ = 65357572800. Its totient is φ = 7575828480.

The previous prime is 24012421007. The next prime is 24012421009. The reversal of 24012421008 is 80012421042.

It is an interprime number because it is at equal distance from previous prime (24012421007) and next prime (24012421009).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (24012421007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017988 + ... + 1041308.

It is an arithmetic number, because the mean of its divisors is an integer number (816969660).

Almost surely, 224012421008 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 24012421008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32678786400).

24012421008 is an abundant number, since it is smaller than the sum of its proper divisors (41345151792).

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

24012421008 is a wasteful number, since it uses less digits than its factorization.

24012421008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24480 (or 24474 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 24012421008 in words is "twenty-four billion, twelve million, four hundred twenty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1129 2258 3387 4516 6774 9032 13548 18064 21451 23321 27096 42902 46642 54192 64353 69963 85804 93284 128706 139926 171608 186568 257412 279852 343216 373136 443099 514824 559704 886198 1029648 1119408 1329297 1772396 2658594 3544792 5317188 7089584 10634376 21268752 26329409 52658818 78988227 105317636 157976454 210635272 315952908 421270544 500258771 631905816 1000517542 1263811632 1500776313 2001035084 3001552626 4002070168 6003105252 8004140336 12006210504 24012421008