Search a number
-
+
1053773247120 = 2435117110915153
BaseRepresentation
bin11110101010110011100…
…01111011001010010000
310201201222021021102002020
433111121301323022100
5114231111422401440
62124032521451440
7136063324545156
oct17253161731220
93651867242066
101053773247120
113769a25873a0
1215028a640b80
13784a7996969
1439007d433d6
151c6274e03d0
hexf559c7b290

1053773247120 has 320 divisors, whose sum is σ = 3617876441088. Its totient is φ = 251582464000.

The previous prime is 1053773247113. The next prime is 1053773247133. The reversal of 1053773247120 is 217423773501.

It is a super-2 number, since 2×10537732471202 (a number of 25 digits) contains 22 as substring.

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, 204494464 + ... + 204499616.

Almost surely, 21053773247120 is an apocalyptic number.

1053773247120 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 1053773247120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808938220544).

1053773247120 is an abundant number, since it is smaller than the sum of its proper divisors (2564103193968).

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

1053773247120 is a wasteful number, since it uses less digits than its factorization.

1053773247120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6342 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 1053773247120 in words is "one trillion, fifty-three billion, seven hundred seventy-three million, two hundred forty-seven thousand, one hundred twenty".