Search a number
-
+
57310138559716 = 2272137239472
BaseRepresentation
bin11010000011111100011100…
…11100110110110011100100
321111220210111002112110120221
431001332032130312303210
530002432130432402331
6321515525244334124
715033343442100100
oct1501761634666344
9244823432473527
1057310138559716
11172961031656a9
126517109544344
1325c942748c263
141021b7b292900
15695b7cb4a711
hex341f8e736ce4

57310138559716 has 81 divisors (see below), whose sum is σ = 117554651453001. Its totient is φ = 24376029617856.

The previous prime is 57310138559701. The next prime is 57310138559719. The reversal of 57310138559716 is 61795583101375.

The square root of 57310138559716 is 7570346.

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., 33664248368100 + 23645890191616 = 5802090^2 + 4862704^2 .

It is not an unprimeable number, because it can be changed into a prime (57310138559719) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14519921655 + ... + 14519925601.

Almost surely, 257310138559716 is an apocalyptic number.

57310138559716 is the 7570346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57310138559716

57310138559716 is an abundant number, since it is smaller than the sum of its proper divisors (60244512893285).

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

57310138559716 is an frugal number, since it uses more digits than its factorization.

57310138559716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 61.

The spelling of 57310138559716 in words is "fifty-seven trillion, three hundred ten billion, one hundred thirty-eight million, five hundred fifty-nine thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 548 959 1918 3836 3947 6713 7894 13426 15788 18769 26852 27629 37538 55258 75076 110516 131383 193403 262766 386806 525532 540739 773612 919681 1081478 1839362 2162956 3678724 3785173 7570346 15140692 15578809 26496211 31157618 52992422 62315236 74081243 105984844 109051663 148162486 218103326 296324972 436206652 518568701 763361641 1037137402 1526723282 2074274804 2134296833 3053446564 3629980907 4268593666 7259961814 8537187332 14519923628 14940077831 29880155662 59760311324 104580544817 209161089634 292398666121 418322179268 584797332242 1169594664484 2046790662847 4093581325694 8187162651388 14327534639929 28655069279858 57310138559716