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1053055263834 = 232719267433777
BaseRepresentation
bin11110101001011101111…
…11000010010001011010
310201200010020021002011200
433110232333002101122
5114223124121420314
62123433352535030
7136036456024350
oct17245677022132
93650106232150
101053055263834
11376664274982
1215010a0b1476
13783c1ccc092
1438d7a8477d0
151c5d4469709
hexf52efc245a

1053055263834 has 48 divisors (see below), whose sum is σ = 2607706765248. Its totient is φ = 300856622976.

The previous prime is 1053055263797. The next prime is 1053055263859. The reversal of 1053055263834 is 4383625503501.

1053055263834 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 0 + 5 + 5 + 2 + 638 + 3 + 4 = 666.

It is a super-3 number, since 3×10530552638343 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1053055263834.

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, 2210754 + ... + 2644530.

It is an arithmetic number, because the mean of its divisors is an integer number (54327224276).

Almost surely, 21053055263834 is an apocalyptic number.

1053055263834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1053055263834 is an abundant number, since it is smaller than the sum of its proper divisors (1554651501414).

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

1053055263834 is a wasteful number, since it uses less digits than its factorization.

1053055263834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453059 (or 453056 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 1053055263834 in words is "one trillion, fifty-three billion, fifty-five million, two hundred sixty-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 19267 38534 57801 115602 134869 173403 269738 346806 404607 433777 809214 867554 1213821 1301331 2427642 2602662 3036439 3903993 6072878 7807986 9109317 18218634 27327951 54655902 8357581459 16715162918 25072744377 50145488754 58503070213 75218233131 117006140426 150436466262 175509210639 351018421278 526527631917 1053055263834