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9134233920 = 26355797173
BaseRepresentation
bin10001000000111000…
…10101100101000000
3212120120200011100000
420200130111211000
5122201330441140
64110214200000
7442232464410
oct104034254500
925516604300
109134233920
113968045159
12192b053000
13b2751bc56
14629198640
15386d94a30
hex220715940

9134233920 has 672 divisors, whose sum is σ = 37837433088. Its totient is φ = 2054356992.

The previous prime is 9134233903. The next prime is 9134233931. The reversal of 9134233920 is 293324319.

It is a tau number, because it is divible by the number of its divisors (672).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52798954 + ... + 52799126.

It is an arithmetic number, because the mean of its divisors is an integer number (56305704).

Almost surely, 29134233920 is an apocalyptic number.

9134233920 is a gapful number since it is divisible by the number (90) 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 9134233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18918716544).

9134233920 is an abundant number, since it is smaller than the sum of its proper divisors (28703199168).

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

9134233920 is a wasteful number, since it uses less digits than its factorization.

9134233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 9134233920 is about 95573.1861978034. The cubic root of 9134233920 is about 2090.3742314995.

The spelling of 9134233920 in words is "nine billion, one hundred thirty-four million, two hundred thirty-three thousand, nine hundred twenty".