Search a number
-
+
7995068928 = 293372112937
BaseRepresentation
bin1110111001000101…
…10001001000000000
3202122012010120202000
413130202301020000
5112333214201203
63401202024000
7402060651600
oct73442611000
922565116660
107995068928
11343300a690
121671648000
139a5507822
1455bb82c00
1531bd744a3
hex1dc8b1200

7995068928 has 960 divisors, whose sum is σ = 31907779200. Its totient is φ = 1950842880.

The previous prime is 7995068923. The next prime is 7995068947. The reversal of 7995068928 is 8298605997.

It is a super-2 number, since 2×79950689282 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7995068923) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216082926 + ... + 216082962.

It is an arithmetic number, because the mean of its divisors is an integer number (33237270).

Almost surely, 27995068928 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 7995068928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15953889600).

7995068928 is an abundant number, since it is smaller than the sum of its proper divisors (23912710272).

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

7995068928 is a wasteful number, since it uses less digits than its factorization.

7995068928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The square root of 7995068928 is about 89415.1493204591. The cubic root of 7995068928 is about 1999.5889928757.

The spelling of 7995068928 in words is "seven billion, nine hundred ninety-five million, sixty-eight thousand, nine hundred twenty-eight".