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52019642101 = 723123773409
BaseRepresentation
bin110000011100100111…
…001011111011110101
311222021100010121202011
4300130213023323311
51323014012021401
635521505244221
73521044443100
oct603447137365
9158240117664
1052019642101
1120074806059
12a0b9333671
134ba030361b
142736a5d737
151546d37451
hexc1c9cbef5

52019642101 has 72 divisors (see below), whose sum is σ = 65256424920. Its totient is φ = 41307356160.

The previous prime is 52019642089. The next prime is 52019642111. The reversal of 52019642101 is 10124691025.

It can be written as a sum of positive squares in 4 ways, for example, as 31817283876 + 20202358225 = 178374^2 + 142135^2 .

It is not a de Polignac number, because 52019642101 - 215 = 52019609333 is a prime.

It is a super-2 number, since 2×520196421012 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52019642111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127187185 + ... + 127187593.

It is an arithmetic number, because the mean of its divisors is an integer number (906339235).

Almost surely, 252019642101 is an apocalyptic number.

It is an amenable number.

52019642101 is a deficient number, since it is larger than the sum of its proper divisors (13236782819).

52019642101 is a wasteful number, since it uses less digits than its factorization.

52019642101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 52019642101 in words is "fifty-two billion, nineteen million, six hundred forty-two thousand, one hundred one".

Divisors: 1 7 31 37 49 73 217 259 409 511 961 1147 1519 1813 2263 2701 2863 3577 6727 8029 12679 15133 15841 18907 20041 29857 35557 47089 56203 70153 83731 88753 105931 110887 132349 208999 248899 393049 469123 491071 586117 621271 741517 925567 1104709 1462993 1742293 2595661 2751343 3283861 3437497 4102819 6478969 7732963 14542813 18169627 19259401 22987027 28692577 34245979 45352783 54130741 101799691 127187389 200848039 239721853 712597837 1061625349 1405936273 1678052971 7431377443 52019642101