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728814052134 = 23372318885159
BaseRepresentation
bin10101001101100001011…
…00111110001100100110
32120200012022012220111000
422212300230332030212
543420102344132014
61314451302254130
7103440456141300
oct12466054761446
92520168186430
10728814052134
112610a7594523
12b92ba427346
135395ac1a92c
14273bc03a970
1513e58a1e509
hexa9b0b3e326

728814052134 has 96 divisors (see below), whose sum is σ = 1944783820800. Its totient is φ = 201515383440.

The previous prime is 728814052133. The next prime is 728814052139. The reversal of 728814052134 is 431250418827.

728814052134 is a `hidden beast` number, since 7 + 2 + 8 + 81 + 40 + 521 + 3 + 4 = 666.

728814052134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 728814052134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728814052133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4360554 + ... + 4524605.

It is an arithmetic number, because the mean of its divisors is an integer number (20258164800).

Almost surely, 2728814052134 is an apocalyptic number.

728814052134 is an abundant number, since it is smaller than the sum of its proper divisors (1215969768666).

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

728814052134 is a wasteful number, since it uses less digits than its factorization.

728814052134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8885215 (or 8885202 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 728814052134 in words is "seven hundred twenty-eight billion, eight hundred fourteen million, fifty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 378 434 441 558 651 837 882 1302 1323 1519 1674 1953 2646 3038 3906 4557 5859 9114 11718 13671 27342 41013 82026 8885159 17770318 26655477 53310954 62196113 79966431 124392226 159932862 186588339 239899293 275439929 373176678 435372791 479798586 550879858 559765017 826319787 870745582 1119530034 1306118373 1652639574 1679295051 1928079503 2478959361 2612236746 3358590102 3856159006 3918355119 4957918722 5784238509 7436878083 7836710238 11568477018 11755065357 13496556521 14873756166 17352715527 23510130714 26993113042 34705431054 40489669563 52058146581 80979339126 104116293162 121469008689 242938017378 364407026067 728814052134