Search a number
-
+
9239148420750 = 234532382923929
BaseRepresentation
bin1000011001110010100000…
…1010001101111010001110
31012201020212010202100020000
42012130220022031322032
52202333233443431000
631352223423105130
71642335465543603
oct206345012157216
935636763670200
109239148420750
112a42334468266
1210527381421a6
1352032b9bc371
1423d26a2206aa
151104e89c3000
hex8672828de8e

9239148420750 has 320 divisors, whose sum is σ = 26993752156800. Its totient is φ = 2353711219200.

The previous prime is 9239148420703. The next prime is 9239148420769. The reversal of 9239148420750 is 570248419329.

9239148420750 is a `hidden beast` number, since 9 + 2 + 3 + 9 + 148 + 420 + 75 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 386094786 + ... + 386118714.

It is an arithmetic number, because the mean of its divisors is an integer number (84355475490).

Almost surely, 29239148420750 is an apocalyptic number.

9239148420750 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9239148420750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13496876078400).

9239148420750 is an abundant number, since it is smaller than the sum of its proper divisors (17754603736050).

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

9239148420750 is a wasteful number, since it uses less digits than its factorization.

9239148420750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24810 (or 24791 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 9239148420750 in words is "nine trillion, two hundred thirty-nine billion, one hundred forty-eight million, four hundred twenty thousand, seven hundred fifty".