Search a number
-
+
10944979968 = 210313535171
BaseRepresentation
bin10100011000101111…
…10010010000000000
31001020202220120221110
422030113302100000
5134403403324333
65010020523320
7535140536406
oct121427622000
931222816843
1010944979968
11470717949a
122155550540
131055702310
1475b86b476
15440d22063
hex28c5f2400

10944979968 has 176 divisors, whose sum is σ = 32015342016. Its totient is φ = 3303505920.

The previous prime is 10944979949. The next prime is 10944979993. The reversal of 10944979968 is 86997944901.

It is a super-3 number, since 3×109449799683 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10944979899 and 10944979908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2114023 + ... + 2119193.

Almost surely, 210944979968 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 10944979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16007671008).

10944979968 is an abundant number, since it is smaller than the sum of its proper divisors (21070362048).

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

10944979968 is a wasteful number, since it uses less digits than its factorization.

10944979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The spelling of 10944979968 in words is "ten billion, nine hundred forty-four million, nine hundred seventy-nine thousand, nine hundred sixty-eight".