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2052062506242 = 233723329232963
BaseRepresentation
bin11101110111001000011…
…101001110110100000010
321021011201202122012021000
4131313020131032310002
5232110111000144432
64210412101112430
7301154010335400
oct35671035166402
97234652565230
102052062506242
11721302873351
122918536b8716
1311b67c6c5098
147146b0aa470
15385a398057c
hex1ddc874ed02

2052062506242 has 96 divisors (see below), whose sum is σ = 5306267620800. Its totient is φ = 586124937216.

The previous prime is 2052062506231. The next prime is 2052062506261. The reversal of 2052062506242 is 2426052602502.

2052062506242 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 0 + 6 + 25 + 0 + 624 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2052062506197 and 2052062506206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8692053 + ... + 8925015.

It is an arithmetic number, because the mean of its divisors is an integer number (55273621050).

Almost surely, 22052062506242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052062506242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653133810400).

2052062506242 is an abundant number, since it is smaller than the sum of its proper divisors (3254205114558).

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

2052062506242 is a wasteful number, since it uses less digits than its factorization.

2052062506242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236317 (or 236304 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2052062506242 in words is "two trillion, fifty-two billion, sixty-two million, five hundred six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 3329 6658 9987 19974 23303 29961 46606 59922 69909 89883 139818 163121 179766 209727 232963 326242 419454 465926 489363 629181 698889 978726 1258362 1397778 1468089 1630741 2096667 2936178 3261482 4193334 4404267 4892223 6290001 8808534 9784446 11415187 12580002 14676669 22830374 29353338 34245561 44030007 68491122 88060014 102736683 205473366 308210049 616420098 775533827 1551067654 2326601481 4653202962 5428736789 6979804443 10857473578 13959608886 16286210367 20939413329 32572420734 38001157523 41878826658 48858631101 76002315046 97717262202 114003472569 146575893303 228006945138 293151786606 342010417707 684020835414 1026031253121 2052062506242