Search a number
-
+
11678716228608 = 2103311133195287
BaseRepresentation
bin1010100111110010100110…
…1110110111010000000000
31112100110210210222110112000
42221330221232313100000
53012321002323303413
640501043403504000
72313521322013242
oct251745156672000
945313723873460
1011678716228608
1137a2a089360a0
1213874b6528000
136693b5241010
142c5377c9a092
15153bcbe5e073
hexa9f29bb7400

11678716228608 has 704 divisors, whose sum is σ = 41944527421440. Its totient is φ = 3161360793600.

The previous prime is 11678716228589. The next prime is 11678716228631. The reversal of 11678716228608 is 80682261787611.

It is a happy number.

11678716228608 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 8 + 7 + 16 + 2 + 2 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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, 122515941 + ... + 122611227.

Almost surely, 211678716228608 is an apocalyptic number.

11678716228608 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 11678716228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20972263710720).

11678716228608 is an abundant number, since it is smaller than the sum of its proper divisors (30265811192832).

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

11678716228608 is a wasteful number, since it uses less digits than its factorization.

11678716228608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95371 (or 95347 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 11678716228608 in words is "eleven trillion, six hundred seventy-eight billion, seven hundred sixteen million, two hundred twenty-eight thousand, six hundred eight".