Search a number
-
+
96994577664 = 28321723137127
BaseRepresentation
bin101101001010101010…
…0111100110100000000
3100021100201102001212100
41122111110330310000
53042121102441124
6112320402230400
710002421210155
oct1322524746400
9307321361770
1096994577664
1138153a01896
121696b355400
1391b9c7a12a
1449a1c4622c
1527ca4741c9
hex169553cd00

96994577664 has 648 divisors, whose sum is σ = 317428686848. Its totient is φ = 28426567680.

The previous prime is 96994577651. The next prime is 96994577683. The reversal of 96994577664 is 46677549969.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 96994577592 and 96994577601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 763736769 + ... + 763736895.

Almost surely, 296994577664 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 96994577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158714343424).

96994577664 is an abundant number, since it is smaller than the sum of its proper divisors (220434109184).

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

96994577664 is a wasteful number, since it uses less digits than its factorization.

96994577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 217 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 96994577664 in words is "ninety-six billion, nine hundred ninety-four million, five hundred seventy-seven thousand, six hundred sixty-four".