Search a number
-
+
74224097280 = 21136561163
BaseRepresentation
bin100010100100000011…
…0011101100000000000
321002120210201211000000
41011020012131200000
52204002332103110
654033104000000
75235225263034
oct1051006354000
9232523654000
1074224097280
1129529627963
1212475600000
136ccb60c6b8
143841a221c4
151de63a01c0
hex114819d800

74224097280 has 672 divisors, whose sum is σ = 273061741680. Its totient is φ = 19349176320.

The previous prime is 74224097279. The next prime is 74224097293. The reversal of 74224097280 is 8279042247.

74224097280 is a `hidden beast` number, since 7 + 42 + 240 + 97 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 455362479 + ... + 455362641.

Almost surely, 274224097280 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 74224097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136530870840).

74224097280 is an abundant number, since it is smaller than the sum of its proper divisors (198837644400).

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

74224097280 is an equidigital number, since it uses as much as digits as its factorization.

74224097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 74224097280 in words is "seventy-four billion, two hundred twenty-four million, ninety-seven thousand, two hundred eighty".