Search a number
-
+
46734655875625 = 5431288212
BaseRepresentation
bin10101010000001010000101…
…00011111110101000101001
320010110210022112002211222201
422220011002203332220221
522111200033401010000
6243221334324220201
712562316224341544
oct1250050243765051
9203423275084881
1046734655875625
1113989068965443
1252a95a583a661
13201009cc0b473
14b77d800db85b
15560a204b496a
hex2a81428fea29

46734655875625 has 45 divisors (see below), whose sum is σ = 60351096278979. Its totient is φ = 36177567300000.

The previous prime is 46734655875617. The next prime is 46734655875671. The reversal of 46734655875625 is 52657855643764.

The square root of 46734655875625 is 6836275.

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

It can be written as a sum of positive squares in 7 ways, for example, as 30211699131289 + 16522956744336 = 5496517^2 + 4064844^2 .

It is not a de Polignac number, because 46734655875625 - 23 = 46734655875617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5298108715 + ... + 5298117535.

Almost surely, 246734655875625 is an apocalyptic number.

46734655875625 is the 6836275-th square number.

46734655875625 is the 3418138-th centered octagonal number.

It is an amenable number.

46734655875625 is a deficient number, since it is larger than the sum of its proper divisors (13616440403354).

46734655875625 is an frugal number, since it uses more digits than its factorization.

46734655875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17724 (or 8857 counting only the distinct ones).

The product of its digits is 5080320000, while the sum is 73.

The spelling of 46734655875625 in words is "forty-six trillion, seven hundred thirty-four billion, six hundred fifty-five million, eight hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 25 31 125 155 625 775 961 3875 4805 8821 19375 24025 44105 120125 220525 273451 600625 1102625 1367255 5513125 6836275 8476981 34181375 42384905 77810041 170906875 211924525 389050205 1059622625 1945251025 2412111271 5298113125 9726255125 12060556355 48631275625 60302781775 74775449401 301513908875 373877247005 1507569544375 1869386235025 9346931175125 46734655875625