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868167380025 = 325211256472
BaseRepresentation
bin11001010001000101100…
…11101110110000111001
310001222220002002102212100
430220202303232300321
5103211001322130100
61502455223534013
7116502665654211
oct14504263566071
93058802072770
10868167380025
11305207942300
1212030b5ba309
1363b388225ba
143003b813241
15178b2aa4400
hexca22ceec39

868167380025 has 81 divisors (see below), whose sum is σ = 1709500280943. Its totient is φ = 420855098400.

The previous prime is 868167379993. The next prime is 868167380029. The reversal of 868167380025 is 520083761868.

The square root of 868167380025 is 931755.

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

868167380025 is a `hidden beast` number, since 86 + 8 + 167 + 380 + 0 + 25 = 666.

868167380025 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 only one way, i.e., 312540256809 + 555627123216 = 559053^2 + 745404^2 .

It is not a de Polignac number, because 868167380025 - 25 = 868167379993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (868167380029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 153736752 + ... + 153742398.

Almost surely, 2868167380025 is an apocalyptic number.

868167380025 is the 931755-th square number.

868167380025 is the 465878-th centered octagonal number.

It is an amenable number.

868167380025 is a deficient number, since it is larger than the sum of its proper divisors (841332900918).

868167380025 is an equidigital number, since it uses as much as digits as its factorization.

868167380025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11332 (or 5666 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 868167380025 in words is "eight hundred sixty-eight billion, one hundred sixty-seven million, three hundred eighty thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5445 5647 9075 16941 27225 28235 50823 62117 84705 141175 186351 254115 310585 423525 559053 683287 931755 1270575 1552925 2049861 2795265 3416435 4658775 6149583 10249305 13976325 17082175 30747915 31888609 51246525 95665827 153739575 159443045 286997481 350774699 478329135 797215225 1052324097 1434987405 1753873495 2391645675 3156972291 3858521689 5261620485 7174937025 8769367475 11575565067 15784861455 19292608445 26308102425 34726695201 57877825335 78924307275 96463042225 173633476005 289389126675 868167380025