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2148636672 = 21133721361
BaseRepresentation
bin1000000000010001…
…1001100000000000
312112202001001102000
42000010121200000
513400022333142
6553112424000
7104150052600
oct20004314000
95482031360
102148636672
11a02938596
124bb6a8000
132831b9860
1416550ac00
15c897314c
hex80119800

2148636672 has 576 divisors, whose sum is σ = 8104168800. Its totient is φ = 557383680.

The previous prime is 2148636671. The next prime is 2148636713. The reversal of 2148636672 is 2766368412.

2148636672 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 636 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148636671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35223522 + ... + 35223582.

Almost surely, 22148636672 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 2148636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052084400).

2148636672 is an abundant number, since it is smaller than the sum of its proper divisors (5955532128).

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

2148636672 is a wasteful number, since it uses less digits than its factorization.

2148636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2148636672 is about 46353.3890023157. The cubic root of 2148636672 is about 1290.3900172789.

The spelling of 2148636672 in words is "two billion, one hundred forty-eight million, six hundred thirty-six thousand, six hundred seventy-two".