Search a number
-
+
2071988352 = 27327892887
BaseRepresentation
bin111101110000000…
…0000100010000000
312100101210220200100
41323200000202000
513220412111402
6541333522400
7102226416240
oct17340004200
95311726610
102071988352
11973646575
12499aa3400
13270360c15
14159277b20
15c1d8271c
hex7b800880

2071988352 has 192 divisors, whose sum is σ = 6893078400. Its totient is φ = 585142272.

The previous prime is 2071988309. The next prime is 2071988357. The reversal of 2071988352 is 2538891702.

It is a happy number.

2071988352 is a `hidden beast` number, since 207 + 1 + 98 + 8 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2071988298 and 2071988307.

It is not an unprimeable number, because it can be changed into a prime (2071988357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716253 + ... + 719139.

It is an arithmetic number, because the mean of its divisors is an integer number (35901450).

Almost surely, 22071988352 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 2071988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446539200).

2071988352 is an abundant number, since it is smaller than the sum of its proper divisors (4821090048).

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

2071988352 is a wasteful number, since it uses less digits than its factorization.

2071988352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2071988352 is about 45519.0987608498. The cubic root of 2071988352 is about 1274.8598286503.

The spelling of 2071988352 in words is "two billion, seventy-one million, nine hundred eighty-eight thousand, three hundred fifty-two".