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61416620241613 = 71319432832919013
BaseRepresentation
bin11011111011011101010111…
…10101010011001011001101
322001110101000212022001210021
431331232223311103023031
531022222214240212423
6334342223354342141
715636130050341410
oct1575565365231315
9261411025261707
1061416620241613
1118629707aa896a
126a7ab51a2a951
1328367408a3550
14112481a409b77
157178c1dc395d
hex37dbabd532cd

61416620241613 has 64 divisors (see below), whose sum is σ = 81706237634560. Its totient is φ = 44806320453888.

The previous prime is 61416620241611. The next prime is 61416620241617. The reversal of 61416620241613 is 31614202661416.

It is not a de Polignac number, because 61416620241613 - 21 = 61416620241611 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 61416620241613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61416620241611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19580695 + ... + 22499707.

It is an arithmetic number, because the mean of its divisors is an integer number (1276659963040).

Almost surely, 261416620241613 is an apocalyptic number.

It is an amenable number.

61416620241613 is a deficient number, since it is larger than the sum of its proper divisors (20289617392947).

61416620241613 is a wasteful number, since it uses less digits than its factorization.

61416620241613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919378.

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 61416620241613 in words is "sixty-one trillion, four hundred sixteen billion, six hundred twenty million, two hundred forty-one thousand, six hundred thirteen".

Divisors: 1 7 13 19 43 91 133 247 283 301 559 817 1729 1981 3679 3913 5377 5719 10621 12169 25753 37639 69901 74347 85183 158197 231211 489307 1107379 1618477 2919013 3005743 20433091 21040201 37947169 55461247 125517559 265630183 388228729 720996211 826080679 878622913 1631728267 2384833621 5046973477 5782564753 10739048827 11422097869 15695532901 16693835347 31002837073 35521469197 75173341789 109868730307 204041927713 217019859511 248650284379 461779099561 674907914743 1428293493991 3232453696927 4724355403201 8773802891659 61416620241613