Search a number
-
+
11691667008 = 2637711933
BaseRepresentation
bin10101110001110000…
…01010111001000000
31010011210221020000000
422320320022321000
5142421031321013
65212053000000
7562505346510
oct127070127100
933153836000
1011691667008
114a5a70651a
122323623000
131144309b78
147ccab9840
15486667973
hex2b8e0ae40

11691667008 has 224 divisors, whose sum is σ = 39769816320. Its totient is φ = 3340196352.

The previous prime is 11691667003. The next prime is 11691667021. The reversal of 11691667008 is 80076619611.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (11691667003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973810 + ... + 985742.

Almost surely, 211691667008 is an apocalyptic number.

11691667008 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 11691667008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19884908160).

11691667008 is an abundant number, since it is smaller than the sum of its proper divisors (28078149312).

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

11691667008 is an frugal number, since it uses more digits than its factorization.

11691667008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11973 (or 11945 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11691667008 in words is "eleven billion, six hundred ninety-one million, six hundred sixty-seven thousand, eight".