Search a number
-
+
10967369868 = 22347131721881
BaseRepresentation
bin10100011011011010…
…01100100010001100
31001022100001010010000
422031231030202030
5134430121313433
65012140444300
7535532051160
oct121555144214
931270033100
1010967369868
114718881344
122160b49690
13105a241490
14760818ca0
15442c96113
hex28db4c88c

10967369868 has 240 divisors, whose sum is σ = 37364652864. Its totient is φ = 2722222080.

The previous prime is 10967369849. The next prime is 10967369869. The reversal of 10967369868 is 86896376901.

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 (10967369869) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 490288 + ... + 512168.

Almost surely, 210967369868 is an apocalyptic number.

10967369868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10967369868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18682326432).

10967369868 is an abundant number, since it is smaller than the sum of its proper divisors (26397282996).

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

10967369868 is a wasteful number, since it uses less digits than its factorization.

10967369868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21934 (or 21923 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 10967369868 in words is "ten billion, nine hundred sixty-seven million, three hundred sixty-nine thousand, eight hundred sixty-eight".