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61364868166640 = 24571127743114493
BaseRepresentation
bin11011111001111100111110…
…01010110011001111110000
322001021102110011122021010202
431330332133022303033300
531020400222222313030
6334302344204014332
715632315432064353
oct1574763712631760
9261242404567122
1061364868166640
1118609770334a75
126a70b0a2313a8
1328318b3b5358c
14112210b11a29a
157163937e0745
hex37cf9f2b33f0

61364868166640 has 160 divisors (see below), whose sum is σ = 146019573006336. Its totient is φ = 23977152783360.

The previous prime is 61364868166639. The next prime is 61364868166643. The reversal of 61364868166640 is 4666186846316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61364868166643) 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 31 ways as a sum of consecutive naturals, for example, 535913234 + ... + 536027726.

Almost surely, 261364868166640 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 61364868166640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73009786503168).

61364868166640 is an abundant number, since it is smaller than the sum of its proper divisors (84654704839696).

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

61364868166640 is a wasteful number, since it uses less digits than its factorization.

61364868166640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115447 (or 115441 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 65.

The spelling of 61364868166640 in words is "sixty-one trillion, three hundred sixty-four billion, eight hundred sixty-eight million, one hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 127 142 254 284 355 508 568 635 710 743 1016 1136 1270 1420 1486 2032 2540 2840 2972 3715 5080 5680 5944 7430 9017 10160 11888 14860 18034 29720 36068 45085 52753 59440 72136 90170 94361 105506 114493 144272 180340 188722 211012 228986 263765 360680 377444 422024 457972 471805 527530 572465 721360 754888 844048 915944 943610 1055060 1144930 1509776 1831888 1887220 2110120 2289860 3774440 4220240 4579720 6699631 7548880 8129003 9159440 13399262 14540611 16258006 26798524 29081222 32516012 33498155 40645015 53597048 58162444 65032024 66996310 72703055 81290030 85068299 107194096 116324888 130064048 133992620 145406110 162580060 170136598 232649776 267985240 290812220 325160120 340273196 425341495 535970480 581624440 650320240 680546392 850682990 1032383381 1163248880 1361092784 1701365980 2064766762 3402731960 4129533524 5161916905 6039849229 6805463920 8259067048 10323833810 10803673973 12079698458 16518134096 20647667620 21607347946 24159396916 30199246145 41295335240 43214695892 48318793832 54018369865 60398492290 82590670480 86429391784 96637587664 108036739730 120796984580 172858783568 216073479460 241593969160 432146958920 483187938320 767060852083 864293917840 1534121704166 3068243408332 3835304260415 6136486816664 7670608520830 12272973633328 15341217041660 30682434083320 61364868166640