Search a number
-
+
7989238656 = 27347315367
BaseRepresentation
bin1110111000011001…
…00001101110000000
3202121210011101010000
413130030201232000
5112330221114111
63400433040000
7401660256660
oct73414415600
922553141100
107989238656
11342a798283
12166b6b6000
139a4245b69
1455b0a61a0
1531b5c1c56
hex1dc321b80

7989238656 has 640 divisors, whose sum is σ = 29004687360. Its totient is φ = 2134978560.

The previous prime is 7989238627. The next prime is 7989238729. The reversal of 7989238656 is 6568329897.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 7989238593 and 7989238602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119242335 + ... + 119242401.

It is an arithmetic number, because the mean of its divisors is an integer number (45319824).

Almost surely, 27989238656 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 7989238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502343680).

7989238656 is an abundant number, since it is smaller than the sum of its proper divisors (21015448704).

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

7989238656 is a wasteful number, since it uses less digits than its factorization.

7989238656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 7989238656 is about 89382.5411140229. The cubic root of 7989238656 is about 1999.1028189266.

The spelling of 7989238656 in words is "seven billion, nine hundred eighty-nine million, two hundred thirty-eight thousand, six hundred fifty-six".