Search a number
-
+
24126974580228 = 223133153316729723
BaseRepresentation
bin1010111110001011111111…
…01111111101011000000100
310011102111221100020012111120
411133011333233331120010
511130244020443031403
6123151440142033540
75040054631115412
oct537057757753004
9104374840205446
1024126974580228
117762213186113
122857b76b788b0
13106021923c480
145d5a74d242b2
152bc8e828de53
hex15f17fbfd604

24126974580228 has 192 divisors, whose sum is σ = 63785539141632. Its totient is φ = 7046196917760.

The previous prime is 24126974580221. The next prime is 24126974580253. The reversal of 24126974580228 is 82208547962142.

It is a happy number.

It is a super-2 number, since 2×241269745802282 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24126974580221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811712575 + ... + 811742297.

It is an arithmetic number, because the mean of its divisors is an integer number (332216349696).

Almost surely, 224126974580228 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 24126974580228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31892769570816).

24126974580228 is an abundant number, since it is smaller than the sum of its proper divisors (39658564561404).

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

24126974580228 is a wasteful number, since it uses less digits than its factorization.

24126974580228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32994 (or 32992 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 24126974580228 in words is "twenty-four trillion, one hundred twenty-six billion, nine hundred seventy-four million, five hundred eighty thousand, two hundred twenty-eight".