Search a number
-
+
51652429852504 = 231329577265711171
BaseRepresentation
bin10111011111010010001001…
…01110111010111101011000
320202212220221122110012202011
423233221010232322331120
523232233134020240004
6301504444303515304
713610523235420045
oct1357510456727530
9222786848405664
1051652429852504
1115504744091798
1259627062b8b34
1322a8a59927480
14ca7dc32161cc
155e88e90aa004
hex2efa44bbaf58

51652429852504 has 128 divisors (see below), whose sum is σ = 108132013886400. Its totient is φ = 22966932602880.

The previous prime is 51652429852487. The next prime is 51652429852531. The reversal of 51652429852504 is 40525892425615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4623790839 + ... + 4623802009.

Almost surely, 251652429852504 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 51652429852504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54066006943200).

51652429852504 is an abundant number, since it is smaller than the sum of its proper divisors (56479584033896).

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

51652429852504 is a wasteful number, since it uses less digits than its factorization.

51652429852504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14453 (or 14449 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 58.

The spelling of 51652429852504 in words is "fifty-one trillion, six hundred fifty-two billion, four hundred twenty-nine million, eight hundred fifty-two thousand, five hundred four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 577 754 1154 1508 2308 2657 3016 4616 5314 7501 10628 11171 15002 16733 21256 22342 30004 33466 34541 44684 60008 66932 69082 77053 89368 133864 138164 145223 154106 217529 276328 290446 308212 323959 435058 580892 616424 647918 870116 1001689 1161784 1295836 1533089 1740232 2003378 2591672 3066178 4006756 4211467 6132356 6445667 8013512 8422934 12264712 12891334 16845868 19930157 25782668 29681347 33691736 39860314 44459581 51565336 59362694 79720628 83793671 88919162 118725388 159441256 167587342 177838324 186924343 237450776 335174684 355676648 373848686 385857511 577974553 670349368 747697372 771715022 860759063 1155949106 1495394744 1543430044 1721518126 2311898212 2430016459 3086860088 3443036252 4623796424 4860032918 6886072504 9720065836 11189867819 17126137219 19440131672 22379735638 34252274438 44759471276 68504548876 89518942552 137009097752 222639783847 445279567694 496657979351 890559135388 993315958702 1781118270776 1986631917404 3973263834808 6456553731563 12913107463126 25826214926252 51652429852504