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9025044480 = 21432512241
BaseRepresentation
bin10000110011110111…
…10100000000000000
3212021222012202120200
420121323310000000
5121440402410410
64051314005200
7436435420014
oct103173640000
925258182520
109025044480
113911447551
1218ba576800
13b0aa0b80a
14618894544
1537c4c73c0
hex219ef4000

9025044480 has 180 divisors, whose sum is σ = 31288421892. Its totient is φ = 2406481920.

The previous prime is 9025044463. The next prime is 9025044487. The reversal of 9025044480 is 844405209.

9025044480 is a `hidden beast` number, since 90 + 2 + 50 + 44 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2767601664 + 6257442816 = 52608^2 + 79104^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9025044487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731160 + ... + 743400.

Almost surely, 29025044480 is an apocalyptic number.

9025044480 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 9025044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644210946).

9025044480 is an abundant number, since it is smaller than the sum of its proper divisors (22263377412).

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

9025044480 is a wasteful number, since it uses less digits than its factorization.

9025044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12280 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 9025044480 is about 95000.2341049747. The cubic root of 9025044480 is about 2082.0114664108.

Adding to 9025044480 its reverse (844405209), we get a palindrome (9869449689).

The spelling of 9025044480 in words is "nine billion, twenty-five million, forty-four thousand, four hundred eighty".