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9420263424 = 2123211131787
BaseRepresentation
bin10001100010111110…
…11101000000000000
3220022111212222001100
420301133131000000
5123243041412144
64154432534400
7452304626565
oct106137350000
926274788040
109420263424
113aa4547380
1219aa9b1400
13b71867b90
1465517286c
153a2044269
hex2317dd000

9420263424 has 312 divisors, whose sum is σ = 31985789472. Its totient is φ = 2633564160.

The previous prime is 9420263383. The next prime is 9420263483. The reversal of 9420263424 is 4243620249.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5270659 + ... + 5272445.

It is an arithmetic number, because the mean of its divisors is an integer number (102518556).

Almost surely, 29420263424 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 9420263424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15992894736).

9420263424 is an abundant number, since it is smaller than the sum of its proper divisors (22565526048).

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

9420263424 is a wasteful number, since it uses less digits than its factorization.

9420263424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 9420263424 is about 97058.0415215555. The cubic root of 9420263424 is about 2111.9696965349.

The spelling of 9420263424 in words is "nine billion, four hundred twenty million, two hundred sixty-three thousand, four hundred twenty-four".