Search a number
-
+
2947019712 = 263713315441
BaseRepresentation
bin1010111110100111…
…1111001111000000
321121101100010001020
42233221333033000
522013414112322
61204232505440
7133013153130
oct25751771700
97541303036
102947019712
11128257458a
126a2b4b280
1337c724760
141dd574ac0
15123acb05c
hexafa7f3c0

2947019712 has 224 divisors, whose sum is σ = 9908097024. Its totient is φ = 752025600.

The previous prime is 2947019711. The next prime is 2947019767. The reversal of 2947019712 is 2179107492.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2947019711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538912 + ... + 544352.

It is an arithmetic number, because the mean of its divisors is an integer number (44232576).

Almost surely, 22947019712 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 2947019712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954048512).

2947019712 is an abundant number, since it is smaller than the sum of its proper divisors (6961077312).

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

2947019712 is a wasteful number, since it uses less digits than its factorization.

2947019712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 2947019712 is about 54286.4597482650. The cubic root of 2947019712 is about 1433.7090068944.

The spelling of 2947019712 in words is "two billion, nine hundred forty-seven million, nineteen thousand, seven hundred twelve".