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2481964647968 = 251327721538849
BaseRepresentation
bin100100000111100000100…
…111110000011000100000
322210021101101100202022102
4210013200213300120200
5311131030422213333
65140110540025532
7344213253263231
oct44074047603040
98707341322272
102481964647968
11877660380373
12341030b322a8
131500820547c0
14881b06c3088
15448655c2ae8
hex241e09f0620

2481964647968 has 48 divisors (see below), whose sum is σ = 5281239864600. Its totient is φ = 1141386633216.

The previous prime is 2481964647917. The next prime is 2481964647979. The reversal of 2481964647968 is 8697464691842.

It can be written as a sum of positive squares in 4 ways, for example, as 1212403592464 + 1269561055504 = 1101092^2 + 1126748^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2481964647895 and 2481964647904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10654193 + ... + 10884656.

Almost surely, 22481964647968 is an apocalyptic number.

It is an amenable number.

2481964647968 is an abundant number, since it is smaller than the sum of its proper divisors (2799275216632).

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

2481964647968 is a wasteful number, since it uses less digits than its factorization.

2481964647968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21539149 (or 21539141 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 74.

The spelling of 2481964647968 in words is "two trillion, four hundred eighty-one billion, nine hundred sixty-four million, six hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 277 416 554 1108 2216 3601 4432 7202 8864 14404 28808 57616 115232 21538849 43077698 86155396 172310792 280005037 344621584 560010074 689243168 1120020148 2240040296 4480080592 5966261173 8960161184 11932522346 23865044692 47730089384 77561395249 95460178768 155122790498 190920357536 310245580996 620491161992 1240982323984 2481964647968