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1302813425680 = 245131252705217
BaseRepresentation
bin10010111101010101101…
…110110100000000010000
311121112210022022021201021
4102331111232310000100
5132321130214110210
62434300525045224
7163060634254534
oct22752556640020
94545708267637
101302813425680
1146257a23a588
121905b16b6814
1395b15c45570
14470b10a5bc4
1523d50e12bda
hex12f55bb4010

1302813425680 has 40 divisors (see below), whose sum is σ = 3262044387672. Its totient is φ = 481038802944.

The previous prime is 1302813425659. The next prime is 1302813425681. The reversal of 1302813425680 is 865243182031.

It can be written as a sum of positive squares in 4 ways, for example, as 220344336 + 1302593081344 = 14844^2 + 1141312^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1302813425681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626351569 + ... + 626353648.

Almost surely, 21302813425680 is an apocalyptic number.

1302813425680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302813425680 is an abundant number, since it is smaller than the sum of its proper divisors (1959230961992).

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

1302813425680 is a wasteful number, since it uses less digits than its factorization.

1302813425680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252705243 (or 1252705237 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 1302813425680 in words is "one trillion, three hundred two billion, eight hundred thirteen million, four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1252705217 2505410434 5010820868 6263526085 10021641736 12527052170 16285167821 20043283472 25054104340 32570335642 50108208680 65140671284 81425839105 100216417360 130281342568 162851678210 260562685136 325703356420 651406712840 1302813425680