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1053523335128 = 231153909124847
BaseRepresentation
bin11110101010010101110…
…00100101011111011000
310201201022212000120021112
433111022320211133120
5114230103433211003
62123552033155452
7136054201410605
oct17251270453730
93651285016245
101053523335128
11376884503860
1215021a9bbb88
1378467c85344
1438dc2a8b6ac
151c6105c73d8
hexf54ae257d8

1053523335128 has 64 divisors (see below), whose sum is σ = 2195923115520. Its totient is φ = 469768291200.

The previous prime is 1053523335127. The next prime is 1053523335149. The reversal of 1053523335128 is 8215333253501.

It is a super-2 number, since 2×10535233351282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053523335127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42388001 + ... + 42412847.

It is an arithmetic number, because the mean of its divisors is an integer number (34311298680).

Almost surely, 21053523335128 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 1053523335128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097961557760).

1053523335128 is an abundant number, since it is smaller than the sum of its proper divisors (1142399780392).

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

1053523335128 is a wasteful number, since it uses less digits than its factorization.

1053523335128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34008 (or 34004 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 41.

Adding to 1053523335128 its reverse (8215333253501), we get a palindrome (9268856588629).

The spelling of 1053523335128 in words is "one trillion, fifty-three billion, five hundred twenty-three million, three hundred thirty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 1166 2332 4664 9091 18182 24847 36364 49694 72728 99388 100001 198776 200002 273317 400004 481823 546634 800008 963646 1093268 1316891 1927292 2186536 2633782 3854584 5267564 5300053 10535128 10600106 14485801 21200212 28971602 42400424 57943204 115886408 225884077 451768154 903536308 1807072616 2484724847 4969449694 9938899388 11971856081 19877798776 23943712162 47887424324 95774848648 131690416891 263380833782 526761667564 1053523335128