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61122079872 = 273372526541
BaseRepresentation
bin111000111011001010…
…001110110010000000
312211202200222100222000
4320323022032302000
52000134223023442
644025030144000
74262443051410
oct707312166200
9184680870860
1061122079872
1123a159032a7
12ba197b2000
1359c106bb89
142d5b8dc640
1518caeead4c
hexe3b28ec80

61122079872 has 128 divisors (see below), whose sum is σ = 206165827200. Its totient is φ = 17463444480.

The previous prime is 61122079861. The next prime is 61122079901. The reversal of 61122079872 is 27897022116.

It is a happy number.

61122079872 is a `hidden beast` number, since 611 + 2 + 20 + 7 + 9 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239079 + ... + 1287462.

It is an arithmetic number, because the mean of its divisors is an integer number (1610670525).

Almost surely, 261122079872 is an apocalyptic number.

It is an amenable number.

61122079872 is an abundant number, since it is smaller than the sum of its proper divisors (145043747328).

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

61122079872 is a wasteful number, since it uses less digits than its factorization.

61122079872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526571 (or 2526553 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 61122079872 in words is "sixty-one billion, one hundred twenty-two million, seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 2526541 5053082 7579623 10106164 15159246 17685787 20212328 22738869 30318492 35371574 40424656 45477738 53057361 60636984 68216607 70743148 80849312 90955476 106114722 121273968 136433214 141486296 159172083 161698624 181910952 212229444 242547936 272866428 282972592 318344166 323397248 363821904 424458888 477516249 485095872 545732856 565945184 636688332 727643808 848917776 955032498 970191744 1091465712 1131890368 1273376664 1455287616 1697835552 1910064996 2182931424 2263780736 2546753328 2910575232 3395671104 3820129992 4365862848 5093506656 6791342208 7640259984 8731725696 10187013312 15280519968 20374026624 30561039936 61122079872