Search a number
-
+
11701745460 = 22335193136791
BaseRepresentation
bin10101110010111101…
…00111011100110100
31010012111220021001000
422321132213130310
5142431121323320
65213053003300
7562660123656
oct127136473464
933174807030
1011701745460
114a6536a619
122326a83530
131146428352
147d01806d6
154874a8c90
hex2b97a7734

11701745460 has 192 divisors, whose sum is σ = 39558758400. Its totient is φ = 2860790400.

The previous prime is 11701745417. The next prime is 11701745477. The reversal of 11701745460 is 6454710711.

It is a super-2 number, since 2×117017454602 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 299665 + ... + 336455.

It is an arithmetic number, because the mean of its divisors is an integer number (206035200).

Almost surely, 211701745460 is an apocalyptic number.

11701745460 is a gapful number since it is divisible by the number (10) 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 11701745460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779379200).

11701745460 is an abundant number, since it is smaller than the sum of its proper divisors (27857012940).

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

11701745460 is a wasteful number, since it uses less digits than its factorization.

11701745460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36859 (or 36851 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 11701745460 in words is "eleven billion, seven hundred one million, seven hundred forty-five thousand, four hundred sixty".