Search a number
-
+
1057303733556 = 2237171979493277
BaseRepresentation
bin11110110001011000011…
…01101010010100110100
310202002002022111201000010
433120230031222110310
5114310324223433211
62125415120220220
7136246654310430
oct17305415522464
93662068451003
101057303733556
11378444437084
12150ab4a6a670
137891b2487a5
1439260b999c0
151c7824204a6
hexf62c36a534

1057303733556 has 192 divisors, whose sum is σ = 3182235033600. Its totient is φ = 265942849536.

The previous prime is 1057303733543. The next prime is 1057303733609. The reversal of 1057303733556 is 6553373037501.

1057303733556 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10573037335562 (a number of 25 digits) contains 22 as substring.

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, 1896790 + ... + 2390066.

It is an arithmetic number, because the mean of its divisors is an integer number (16574140800).

Almost surely, 21057303733556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057303733556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591117516800).

1057303733556 is an abundant number, since it is smaller than the sum of its proper divisors (2124931300044).

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

1057303733556 is a wasteful number, since it uses less digits than its factorization.

1057303733556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493406 (or 493404 counting only the distinct ones).

The product of its (nonzero) digits is 2976750, while the sum is 48.

The spelling of 1057303733556 in words is "one trillion, fifty-seven billion, three hundred three million, seven hundred thirty-three thousand, five hundred fifty-six".