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5470124889312 = 253289972200103
BaseRepresentation
bin100111110011001110011…
…0110011101010011100000
3201100221100102000222012200
41033212130312131103200
51204110303432424222
615344535104253200
71103126536246446
oct117463466352340
921327312028180
105470124889312
111819959992136
12744191911200
13308aa4996445
1414ca80d90b96
1597455699eac
hex4f99cd9d4e0

5470124889312 has 144 divisors (see below), whose sum is σ = 15892627252320. Its totient is φ = 1784300322816.

The previous prime is 5470124889311. The next prime is 5470124889323. The reversal of 5470124889312 is 2139884210745.

5470124889312 is a `hidden beast` number, since 5 + 4 + 7 + 0 + 1 + 248 + 89 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5470124889311) by changing a digit.

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, 1386253 + ... + 3586355.

It is an arithmetic number, because the mean of its divisors is an integer number (110365467030).

Almost surely, 25470124889312 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 5470124889312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946313626160).

5470124889312 is an abundant number, since it is smaller than the sum of its proper divisors (10422502363008).

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

5470124889312 is a wasteful number, since it uses less digits than its factorization.

5470124889312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200305 (or 2200294 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 5470124889312 in words is "five trillion, four hundred seventy billion, one hundred twenty-four million, eight hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 97 144 178 194 267 288 291 356 388 534 582 712 776 801 873 1068 1164 1424 1552 1602 1746 2136 2328 2848 3104 3204 3492 4272 4656 6408 6984 8544 8633 9312 12816 13968 17266 25632 25899 27936 34532 51798 69064 77697 103596 138128 155394 207192 276256 310788 414384 621576 828768 1243152 2200103 2486304 4400206 6600309 8800412 13200618 17600824 19800927 26401236 35201648 39601854 52802472 70403296 79203708 105604944 158407416 195809167 211209888 213409991 316814832 391618334 426819982 587427501 633629664 640229973 783236668 853639964 1174855002 1280459946 1566473336 1707279928 1762282503 1920689919 2349710004 2560919892 3132946672 3414559856 3524565006 3841379838 4699420008 5121839784 6265893344 6829119712 7049130012 7682759676 9398840016 10243679568 14098260024 15365519352 18797680032 18993489199 20487359136 28196520048 30731038704 37986978398 56393040096 56980467597 61462077408 75973956796 113960935194 151947913592 170941402791 227921870388 303895827184 341882805582 455843740776 607791654368 683765611164 911687481552 1367531222328 1823374963104 2735062444656 5470124889312