Search a number
-
+
1116017070336 = 28337193139161
BaseRepresentation
bin10000001111010111110…
…011010001000100000000
310221200122011000020122000
4100033113303101010000
5121241100332222321
62212405142544000
7143425641402420
oct20172763210400
93850564006560
101116017070336
113a03335a6003
1216035ba38000
138131725a29c
143c030800480
151e06bc19826
hex103d7cd1100

1116017070336 has 576 divisors, whose sum is σ = 4098412953600. Its totient is φ = 292327833600.

The previous prime is 1116017070313. The next prime is 1116017070373. The reversal of 1116017070336 is 6330707106111.

It is a happy number.

1116017070336 is a `hidden beast` number, since 1 + 11 + 601 + 7 + 0 + 7 + 0 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1116017070336.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28478596 + ... + 28517756.

Almost surely, 21116017070336 is an apocalyptic number.

1116017070336 is a gapful number since it is divisible by the number (16) 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 1116017070336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049206476800).

1116017070336 is an abundant number, since it is smaller than the sum of its proper divisors (2982395883264).

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

1116017070336 is a wasteful number, since it uses less digits than its factorization.

1116017070336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39243 (or 39223 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 1116017070336 in words is "one trillion, one hundred sixteen billion, seventeen million, seventy thousand, three hundred thirty-six".