Search a number
-
+
9942581376 = 2732721317797
BaseRepresentation
bin10010100001001111…
…11100000010000000
3221122220201110120200
421100213330002000
5130330300101001
64322332005200
7501246355500
oct112047740200
927586643520
109942581376
114242367602
121b15900800
13c25b35460
146a4697a00
153d2d1a086
hex2509fc080

9942581376 has 576 divisors, whose sum is σ = 37998094680. Its totient is φ = 2464874496.

The previous prime is 9942581339. The next prime is 9942581413. The reversal of 9942581376 is 6731852499.

It is an interprime number because it is at equal distance from previous prime (9942581339) and next prime (9942581413).

It can be written as a sum of positive squares in 4 ways, for example, as 8078414400 + 1864166976 = 89880^2 + 43176^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12474610 + ... + 12475406.

Almost surely, 29942581376 is an apocalyptic number.

9942581376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9942581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18999047340).

9942581376 is an abundant number, since it is smaller than the sum of its proper divisors (28055513304).

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

9942581376 is a wasteful number, since it uses less digits than its factorization.

9942581376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 839 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 9942581376 is about 99712.4935802931. The cubic root of 9942581376 is about 2150.3032834105.

The spelling of 9942581376 in words is "nine billion, nine hundred forty-two million, five hundred eighty-one thousand, three hundred seventy-six".