Search a number
-
+
9948150968 = 237177645553
BaseRepresentation
bin10010100001111010…
…01011110010111000
3221200022012102121212
421100331023302320
5130333211312333
64323051222252
7501344613410
oct112075136270
927608172555
109948150968
114245521078
121b17747988
13c27035582
146a5307640
153d356a448
hex250f4bcb8

9948150968 has 16 divisors (see below), whose sum is σ = 21317466480. Its totient is φ = 4263493248.

The previous prime is 9948150959. The next prime is 9948150977. The reversal of 9948150968 is 8690518499.

9948150968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9948150959) and next prime (9948150977).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 88822721 + ... + 88822832.

It is an arithmetic number, because the mean of its divisors is an integer number (1332341655).

Almost surely, 29948150968 is an apocalyptic number.

It is an amenable number.

9948150968 is an abundant number, since it is smaller than the sum of its proper divisors (11369315512).

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

9948150968 is a wasteful number, since it uses less digits than its factorization.

9948150968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177645566 (or 177645562 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 59.

The square root of 9948150968 is about 99740.4179257336. The cubic root of 9948150968 is about 2150.7047243083.

The spelling of 9948150968 in words is "nine billion, nine hundred forty-eight million, one hundred fifty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 177645553 355291106 710582212 1243518871 1421164424 2487037742 4974075484 9948150968