Search a number
-
+
57126601312 = 2511287716823
BaseRepresentation
bin110101001101000000…
…101100001001100000
312110110020210000202121
4311031000230021200
51413443402220222
642124341154024
74061436046024
oct651500541140
9173406700677
1057126601312
1122255528100
12b0a36bb914
135505371491
142a9d004384
15174536a5c7
hexd4d02c260

57126601312 has 72 divisors (see below), whose sum is σ = 123770163888. Its totient is φ = 25935486720.

The previous prime is 57126601303. The next prime is 57126601373. The reversal of 57126601312 is 21310662175.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3387333 + ... + 3404155.

It is an arithmetic number, because the mean of its divisors is an integer number (1719030054).

Almost surely, 257126601312 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 57126601312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61885081944).

57126601312 is an abundant number, since it is smaller than the sum of its proper divisors (66643562576).

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

57126601312 is a wasteful number, since it uses less digits than its factorization.

57126601312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17732 (or 17713 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 57126601312 in words is "fifty-seven billion, one hundred twenty-six million, six hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 877 968 1754 1936 3508 3872 7016 9647 14032 16823 19294 28064 33646 38588 67292 77176 106117 134584 154352 185053 212234 269168 308704 370106 424468 538336 740212 848936 1480424 1697872 2035583 2960848 3395744 4071166 5921696 8142332 14753771 16284664 29507542 32569328 59015084 65138656 118030168 162291481 236060336 324582962 472120672 649165924 1298331848 1785206291 2596663696 3570412582 5193327392 7140825164 14281650328 28563300656 57126601312