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93003041296 = 241122922392
BaseRepresentation
bin101011010011101101…
…0011100101000010000
322220001112122000100001
41112213122130220100
53010432234310141
6110420333535344
76501462543664
oct1264732345020
9286045560301
1093003041296
1136495879500
1216036644554
138a0202cba9
144703a968a4
152644d21a31
hex15a769ca10

93003041296 has 135 divisors (see below), whose sum is σ = 205990980013. Its totient is φ = 40645601920.

The previous prime is 93003041143. The next prime is 93003041303. The reversal of 93003041296 is 69214030039.

The square root of 93003041296 is 304964.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 48768538896 + 44234502400 = 220836^2 + 210320^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 389133945 + ... + 389134183.

Almost surely, 293003041296 is an apocalyptic number.

93003041296 is the 304964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93003041296

93003041296 is an abundant number, since it is smaller than the sum of its proper divisors (112987938717).

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

93003041296 is a wasteful number, since it uses less digits than its factorization.

93003041296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 93003041296 in words is "ninety-three billion, three million, forty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 239 242 319 464 478 484 638 841 956 968 1276 1682 1912 1936 2552 2629 3364 3509 3824 5104 5258 6728 6931 7018 9251 10516 13456 13862 14036 18502 21032 27724 28072 28919 37004 42064 55448 56144 57121 57838 74008 76241 101761 110896 114242 115676 148016 152482 200999 203522 228484 231352 304964 401998 407044 456968 462704 609928 628331 803996 814088 838651 913936 1219856 1256662 1607992 1628176 1656509 1677302 2210989 2513324 3215984 3313018 3354604 4421978 5026648 6626036 6709208 6911641 8843956 10053296 13252072 13418416 13823282 17687912 18221599 24320879 26504144 27646564 35375824 36443198 48038761 48641758 55293128 72886396 96077522 97283516 110586256 145772792 192155044 194567032 200437589 291545584 384310088 389134064 400875178 528426371 768620176 801750356 1056852742 1603500712 2113705484 3207001424 4227410968 5812690081 8454821936 11625380162 23250760324 46501520648 93003041296