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61075484064 = 2532759513481
BaseRepresentation
bin111000111000011000…
…011110110110100000
312211122110022001112100
4320320120132312200
52000040310442224
644020243330400
74261336022520
oct707030366640
9184573261470
1061075484064
11239a1578171
12ba06080a00
1359b45060aa
142d5564d680
1518c6d94ac9
hexe3861eda0

61075484064 has 144 divisors (see below), whose sum is σ = 201860043840. Its totient is φ = 17154339840.

The previous prime is 61075484003. The next prime is 61075484111. The reversal of 61075484064 is 46048457016.

61075484064 is a `hidden beast` number, since 6 + 1 + 0 + 7 + 548 + 40 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137797 + ... + 375684.

It is an arithmetic number, because the mean of its divisors is an integer number (1401805860).

Almost surely, 261075484064 is an apocalyptic number.

It is an amenable number.

61075484064 is an abundant number, since it is smaller than the sum of its proper divisors (140784559776).

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

61075484064 is a wasteful number, since it uses less digits than its factorization.

61075484064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513563 (or 513552 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 61075484064 in words is "sixty-one billion, seventy-five million, four hundred eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 59 63 72 84 96 112 118 126 144 168 177 224 236 252 288 336 354 413 472 504 531 672 708 826 944 1008 1062 1239 1416 1652 1888 2016 2124 2478 2832 3304 3717 4248 4956 5664 6608 7434 8496 9912 13216 14868 16992 19824 29736 39648 59472 118944 513481 1026962 1540443 2053924 3080886 3594367 4107848 4621329 6161772 7188734 8215696 9242658 10783101 12323544 14377468 16431392 18485316 21566202 24647088 28754936 30295379 32349303 36970632 43132404 49294176 57509872 60590758 64698606 73941264 86264808 90886137 115019744 121181516 129397212 147882528 172529616 181772274 212067653 242363032 258794424 272658411 345059232 363544548 424135306 484726064 517588848 545316822 636202959 727089096 848270612 969452128 1035177696 1090633644 1272405918 1454178192 1696541224 1908608877 2181267288 2544811836 2908356384 3393082448 3817217754 4362534576 5089623672 6786164896 7634435508 8725069152 10179247344 15268871016 20358494688 30537742032 61075484064