Search a number
-
+
98026600464 = 24361322232
BaseRepresentation
bin101101101001011010…
…1110011100000010000
3100101000122100021000000
41123102311303200100
53101224302203324
6113011030130000
710040122233042
oct1332265634020
9311018307000
1098026600464
11386335078a1
1216bb8ab0900
139322a19c00
144a5cd2ba92
15283ad7d9c9
hex16d2d73810

98026600464 has 315 divisors, whose sum is σ = 309738022317. Its totient is φ = 30026775168.

The previous prime is 98026600411. The next prime is 98026600517. The reversal of 98026600464 is 46400662089.

The square root of 98026600464 is 313092.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (98026600411) and next prime (98026600517).

It can be written as a sum of positive squares in only one way, i.e., 14500976400 + 83525624064 = 120420^2 + 289008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 439581057 + ... + 439581279.

Almost surely, 298026600464 is an apocalyptic number.

98026600464 is the 313092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98026600464

98026600464 is an abundant number, since it is smaller than the sum of its proper divisors (211711421853).

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

98026600464 is an equidigital number, since it uses as much as digits as its factorization.

98026600464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 98026600464 in words is "ninety-eight billion, twenty-six million, six hundred thousand, four hundred sixty-four".