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1053202402512 = 2432131171480451
BaseRepresentation
bin11110101001101111100…
…00010100110011010000
310201200111111010111111100
433110313300110303100
5114223424303340022
62123500130344400
7136043223466161
oct17246760246320
93650444114440
101053202402512
1137672a332397
1215014b42b100
13784166387a0
1438d921c9768
151c5e23311ac
hexf537c14cd0

1053202402512 has 120 divisors (see below), whose sum is σ = 3176952335648. Its totient is φ = 323784864000.

The previous prime is 1053202402493. The next prime is 1053202402573. The reversal of 1053202402512 is 2152042023501.

1053202402512 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 202 + 402 + 51 + 2 = 666.

1053202402512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10532024025122 (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 23 ways as a sum of consecutive naturals, for example, 1951887 + ... + 2432337.

Almost surely, 21053202402512 is an apocalyptic number.

1053202402512 is a gapful number since it is divisible by the number (12) 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 1053202402512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588476167824).

1053202402512 is an abundant number, since it is smaller than the sum of its proper divisors (2123749933136).

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

1053202402512 is a wasteful number, since it uses less digits than its factorization.

1053202402512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481649 (or 481640 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1053202402512 in words is "one trillion, fifty-three billion, two hundred two million, four hundred two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1171 1872 2342 3513 4684 7026 9368 10539 14052 15223 18736 21078 28104 30446 42156 45669 56208 60892 84312 91338 121784 137007 168624 182676 243568 274014 365352 480451 548028 730704 960902 1096056 1441353 1921804 2192112 2882706 3843608 4324059 5765412 6245863 7687216 8648118 11530824 12491726 17296236 18737589 23061648 24983452 34592472 37475178 49966904 56212767 69184944 74950356 99933808 112425534 149900712 224851068 299801424 449702136 562608121 899404272 1125216242 1687824363 2250432484 3375648726 4500864968 5063473089 6751297452 7313905573 9001729936 10126946178 13502594904 14627811146 20253892356 21941716719 27005189808 29255622292 40507784712 43883433438 58511244584 65825150157 81015569424 87766866876 117022489168 131650300314 175533733752 263300600628 351067467504 526601201256 1053202402512