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5011424155737 = 323741731312293
BaseRepresentation
bin100100011101101000000…
…1010000001100001011001
3122202002100202200100221100
41020323100022001201121
51124101344040440422
614354114431502013
71025030522324466
oct110732012014131
918662322610840
105011424155737
11166237331988a
1268b2b7987909
132a4762b3a02c
141347a8b0866d
158a55a6467ac
hex48ed0281859

5011424155737 has 144 divisors (see below), whose sum is σ = 7805947587984. Its totient is φ = 3093454540800.

The previous prime is 5011424155651. The next prime is 5011424155739. The reversal of 5011424155737 is 7375514241105.

5011424155737 is a `hidden beast` number, since 5 + 0 + 1 + 1 + 424 + 155 + 73 + 7 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 318932397081 + 4692491758656 = 564741^2 + 2166216^2 .

It is not a de Polignac number, because 5011424155737 - 27 = 5011424155609 is a prime.

It is a super-2 number, since 2×50114241557372 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5011424155692 and 5011424155701.

It is not an unprimeable number, because it can be changed into a prime (5011424155739) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17103836563 + ... + 17103836855.

It is an arithmetic number, because the mean of its divisors is an integer number (54207969361).

Almost surely, 25011424155737 is an apocalyptic number.

It is an amenable number.

5011424155737 is a deficient number, since it is larger than the sum of its proper divisors (2794523432247).

5011424155737 is a wasteful number, since it uses less digits than its factorization.

5011424155737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 5011424155737 in words is "five trillion, eleven billion, four hundred twenty-four million, one hundred fifty-five thousand, seven hundred thirty-seven".

Divisors: 1 3 9 37 41 73 111 123 131 219 293 333 369 393 657 879 1179 1517 2637 2701 2993 4551 4847 5371 8103 8979 9563 10841 12013 13653 14541 16113 17161 21389 24309 26937 28689 32523 36039 38383 43623 48339 51483 64167 86067 97569 108117 110741 115149 154449 192501 198727 332223 345447 353831 392083 444481 596181 634957 703601 791393 876949 996669 1061493 1176249 1252753 1333443 1420171 1573703 1788543 1904871 2110803 2374179 2630847 2801959 3184479 3528747 3758259 4000329 4260513 4721109 5028173 5714613 6332409 7122537 7892541 8405877 11274777 12781539 14163327 14507071 15084519 25217631 26033237 32447113 43521213 45253557 46351861 51362873 58227011 78099711 97341339 103672483 114880319 130563639 139055583 154088619 174681033 186042401 206155093 234299133 292024017 311017449 344640957 367056629 417166749 462265857 524043099 558127203 618465279 933052347 1033922871 1101169887 1674381609 1855395837 1900426301 3303509661 4250571803 5701278903 7627738441 12751715409 13581095273 15049321789 17103836709 22883215323 38255146227 40743285819 45147965367 68649645969 122229857457 135443896101 556824906193 1670474718579 5011424155737