Search a number
-
+
2119001472 = 2734724397
BaseRepresentation
bin111111001001101…
…0110010110000000
312110200021102120000
41332103112112000
513314431021342
6550133320000
7103340133600
oct17623262600
95420242500
102119001472
11998137195
124b1796000
1327a011933
141615d4c00
15c606c44c
hex7e4d6580

2119001472 has 480 divisors, whose sum is σ = 7583665320. Its totient is φ = 585252864.

The previous prime is 2119001459. The next prime is 2119001473. The reversal of 2119001472 is 2741009112.

2119001472 is a `hidden beast` number, since 2 + 1 + 190 + 0 + 1 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119001473) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21845328 + ... + 21845424.

Almost surely, 22119001472 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 2119001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791832660).

2119001472 is an abundant number, since it is smaller than the sum of its proper divisors (5464663848).

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

2119001472 is an equidigital number, since it uses as much as digits as its factorization.

2119001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2119001472 is about 46032.6131346027. The cubic root of 2119001472 is about 1284.4299372526.

The spelling of 2119001472 in words is "two billion, one hundred nineteen million, one thousand, four hundred seventy-two".