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13031243511264 = 25321133112427183
BaseRepresentation
bin1011110110100001001010…
…1000111111010111100000
31201010202220202200100102100
42331220102220333113200
53202000441314330024
643414245353250400
72513322235146456
oct275502250772740
951122822610370
1013031243511264
114174579269190
121565661103a00
13736ac186a7a4
14330a036889d6
15178e8c5437c9
hexbda12a3f5e0

13031243511264 has 144 divisors (see below), whose sum is σ = 40548608964864. Its totient is φ = 3936931257600.

The previous prime is 13031243511229. The next prime is 13031243511277. The reversal of 13031243511264 is 46211534213031.

13031243511264 is a `hidden beast` number, since 1 + 30 + 3 + 12 + 4 + 351 + 1 + 264 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5164984 + ... + 7262199.

It is an arithmetic number, because the mean of its divisors is an integer number (281587562256).

Almost surely, 213031243511264 is an apocalyptic number.

It is an amenable number.

13031243511264 is an abundant number, since it is smaller than the sum of its proper divisors (27517365453600).

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

13031243511264 is a wasteful number, since it uses less digits than its factorization.

13031243511264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12427541 (or 12427530 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 13031243511264 its reverse (46211534213031), we get a palindrome (59242777724295).

The spelling of 13031243511264 in words is "thirteen trillion, thirty-one billion, two hundred forty-three million, five hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 331 352 396 528 662 792 993 1056 1324 1584 1986 2648 2979 3168 3641 3972 5296 5958 7282 7944 10592 10923 11916 14564 15888 21846 23832 29128 31776 32769 43692 47664 58256 65538 87384 95328 116512 131076 174768 262152 349536 524304 1048608 12427183 24854366 37281549 49708732 74563098 99417464 111844647 136699013 149126196 198834928 223689294 273398026 298252392 397669856 410097039 447378588 546796052 596504784 820194078 894757176 1093592104 1193009568 1230291117 1640388156 1789514352 2187184208 2460582234 3280776312 3579028704 4113397573 4374368416 4921164468 6561552624 8226795146 9842328936 12340192719 13123105248 16453590292 19684657872 24680385438 32907180584 37020578157 39369315744 45247373303 49360770876 65814361168 74041156314 90494746606 98721541752 131628722336 135742119909 148082312628 180989493212 197443083504 271484239818 296164625256 361978986424 394886167008 407226359727 542968479636 592329250512 723957972848 814452719454 1085936959272 1184658501024 1447915945696 1628905438908 2171873918544 3257810877816 4343747837088 6515621755632 13031243511264