Search a number
-
+
9978243324 = 22372937149743
BaseRepresentation
bin10010100101011111…
…11110100011111100
3221202101211021120120
421102233332203330
5130413412241244
64330044214540
7502161445260
oct112257764374
927671737516
109978243324
114260504995
121b2583a450
13c303405ba
146a92dc0a0
153d6011819
hex252bfe8fc

9978243324 has 192 divisors, whose sum is σ = 28498176000. Its totient is φ = 2656668672.

The previous prime is 9978243323. The next prime is 9978243329. The reversal of 9978243324 is 4233428799.

Its product of digits (2612736) is a multiple of the sum of its prime factors (972).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9978243323) 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, 13429297 + ... + 13430039.

It is an arithmetic number, because the mean of its divisors is an integer number (148428000).

Almost surely, 29978243324 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 9978243324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088000).

9978243324 is an abundant number, since it is smaller than the sum of its proper divisors (18519932676).

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

9978243324 is a wasteful number, since it uses less digits than its factorization.

9978243324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 970 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 9978243324 is about 99891.1573864274. The cubic root of 9978243324 is about 2152.8711109565.

The spelling of 9978243324 in words is "nine billion, nine hundred seventy-eight million, two hundred forty-three thousand, three hundred twenty-four".