Search a number
-
+
10335451339008 = 2832172391104079
BaseRepresentation
bin1001011001100110100011…
…1001111101100100000000
31100121001121101002220020100
42112121220321331210000
52323314001020322013
633552012451242400
72114466055600305
oct226315071754400
940531541086210
1010335451339008
113325270921aa4
1211ab0b58a9400
1359c8238560b3
1427a34a6a70ac
1512dcaead7473
hex96668e7d900

10335451339008 has 216 divisors, whose sum is σ = 31684622860800. Its totient is φ = 3228924690432.

The previous prime is 10335451338977. The next prime is 10335451339027. The reversal of 10335451339008 is 80093315453301.

10335451339008 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 545 + 13 + 3 + 90 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8809113 + ... + 9913191.

It is an arithmetic number, because the mean of its divisors is an integer number (146688068800).

Almost surely, 210335451339008 is an apocalyptic number.

10335451339008 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 10335451339008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842311430400).

10335451339008 is an abundant number, since it is smaller than the sum of its proper divisors (21349171521792).

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

10335451339008 is a wasteful number, since it uses less digits than its factorization.

10335451339008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104357 (or 1104340 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 10335451339008 in words is "ten trillion, three hundred thirty-five billion, four hundred fifty-one million, three hundred thirty-nine thousand, eight".