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61166050560 = 283351769851
BaseRepresentation
bin111000111101110001…
…111101110100000000
312211212202201022102000
4320331301331310000
52000232002104220
644033240424000
74263515565006
oct707561756400
9184782638360
1061166050560
1123a3870610a
12ba30478000
1359ca1c5b34
142d636a6a76
1518cecd4390
hexe3dc7dd00

61166050560 has 144 divisors (see below), whose sum is σ = 217054649280. Its totient is φ = 16310937600.

The previous prime is 61166050549. The next prime is 61166050567. The reversal of 61166050560 is 6505066116.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×611660505602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61166050567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850366 + ... + 919485.

Almost surely, 261166050560 is an apocalyptic number.

61166050560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61166050560 is an abundant number, since it is smaller than the sum of its proper divisors (155888598720).

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

61166050560 is a wasteful number, since it uses less digits than its factorization.

61166050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769881 (or 1769861 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 61166050560 in words is "sixty-one billion, one hundred sixty-six million, fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 1769851 3539702 5309553 7079404 8849255 10619106 14158808 15928659 17698510 21238212 26547765 28317616 31857318 35397020 42476424 47785977 53095530 56635232 63714636 70794040 79643295 84952848 95571954 106191060 113270464 127429272 141588080 159286590 169905696 191143908 212382120 226540928 238929885 254858544 283176160 318573180 339811392 382287816 424764240 453081856 477859770 509717088 566352320 637146360 679622784 764575632 849528480 955719540 1019434176 1132704640 1274292720 1359245568 1529151264 1699056960 1911439080 2038868352 2265409280 2548585440 3058302528 3398113920 3822878160 4077736704 5097170880 6116605056 6796227840 7645756320 10194341760 12233210112 15291512640 20388683520 30583025280 61166050560