Search a number
-
+
873467814025 = 52412472972
BaseRepresentation
bin11001011010111101011…
…11010010000010001001
310002111120110210101101201
430231132233102002021
5103302330230022100
61505133210344201
7120051226626442
oct14553657220211
93074513711351
10873467814025
1130748789a874
1212134a72b061
13644a19a1691
14303c175c2c9
1517ac30a336a
hexcb5ebd2089

873467814025 has 81 divisors (see below), whose sum is σ = 1146098711487. Its totient is φ = 660347443200.

The previous prime is 873467814019. The next prime is 873467814059. The reversal of 873467814025 is 520418764378.

The square root of 873467814025 is 934595.

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

873467814025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 872765139961 + 702674064 = 934219^2 + 26508^2 .

It is not a de Polignac number, because 873467814025 - 211 = 873467811977 is a prime.

It is a super-2 number, since 2×8734678140252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9004822777 + ... + 9004822873.

Almost surely, 2873467814025 is an apocalyptic number.

873467814025 is the 934595-th square number.

873467814025 is the 467298-th centered octagonal number.

It is an amenable number.

873467814025 is a deficient number, since it is larger than the sum of its proper divisors (272630897462).

873467814025 is an frugal number, since it uses more digits than its factorization.

873467814025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 873467814025 in words is "eight hundred seventy-three billion, four hundred sixty-seven million, eight hundred fourteen thousand, twenty-five".

Divisors: 1 5 25 41 47 97 205 235 485 1025 1175 1681 1927 2209 2425 3977 4559 8405 9409 9635 11045 19885 22795 42025 47045 48175 55225 79007 90569 99425 113975 163057 186919 214273 235225 385769 395035 442223 452845 815285 934595 1071365 1928845 1975175 2211115 2264225 3713329 4076425 4672975 5356825 7663679 8785193 9644225 11055575 15816529 18131143 18566645 20784481 38318395 43925965 79082645 90655715 92833225 103922405 191591975 219629825 360192913 395413225 453278575 519612025 743376863 852163721 1800964565 3716884315 4260818605 9004822825 18584421575 21304093025 34938712561 174693562805 873467814025