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7968939000 = 2335311229757
BaseRepresentation
bin1110110101111110…
…00101101111111000
3202120100222001012220
413122333011233320
5112310022022000
63354430004040
7401322602211
oct73277055770
922510861186
107968939000
11341a292900
121664946620
1399cc89229
14558500408
153199121a0
hex1dafc5bf8

7968939000 has 384 divisors, whose sum is σ = 28308571200. Its totient is φ = 1862784000.

The previous prime is 7968938987. The next prime is 7968939001. The reversal of 7968939000 is 9398697.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968939001) 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, 10526622 + ... + 10527378.

Almost surely, 27968939000 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 7968939000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154285600).

7968939000 is an abundant number, since it is smaller than the sum of its proper divisors (20339632200).

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

7968939000 is a wasteful number, since it uses less digits than its factorization.

7968939000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 7968939000 is about 89268.9139622523. The cubic root of 7968939000 is about 1997.4082261383.

The spelling of 7968939000 in words is "seven billion, nine hundred sixty-eight million, nine hundred thirty-nine thousand".