Search a number
-
+
9014280192 = 21632172931
BaseRepresentation
bin10000110010100101…
…10000000000000000
3212021012221212202100
420121102300000000
5121430123431232
64050251150400
7436245055161
oct103122600000
925235855670
109014280192
113906365145
1218b6a45400
13b08710108
14617291768
1537b59cc7c
hex2194b0000

9014280192 has 408 divisors, whose sum is σ = 29443789440. Its totient is φ = 2642411520.

The previous prime is 9014280179. The next prime is 9014280229. The reversal of 9014280192 is 2910824109.

It is a tau number, because it is divible by the number of its divisors (408).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290783217 + ... + 290783247.

Almost surely, 29014280192 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 9014280192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721894720).

9014280192 is an abundant number, since it is smaller than the sum of its proper divisors (20429509248).

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

9014280192 is a wasteful number, since it uses less digits than its factorization.

9014280192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9014280192 is about 94943.5631941418. The cubic root of 9014280192 is about 2081.1833897141.

The spelling of 9014280192 in words is "nine billion, fourteen million, two hundred eighty thousand, one hundred ninety-two".