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279780987489025 = 52112179216992
BaseRepresentation
bin111111100111010110010110…
…010111111100101100000001
31100200121210122001210202201211
4333213112112113330230001
5243132412430244122100
62431013340011530121
7112634336455010041
oct7747262627745401
91320553561722654
10279780987489025
11811684a5620400
122746751a759941
13c016306ba3a29
144d13687423721
152252b2b3471ba
hexfe75965fcb01

279780987489025 has 81 divisors (see below), whose sum is σ = 383702651506083. Its totient is φ = 202221244552800.

The previous prime is 279780987488969. The next prime is 279780987489049. The reversal of 279780987489025 is 520984789087972.

The square root of 279780987489025 is 16726655.

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., 100721155496049 + 179059831992976 = 10035993^2 + 13381324^2 .

It is not a de Polignac number, because 279780987489025 - 27 = 279780987488897 is a prime.

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, 164673917626 + ... + 164673919324.

Almost surely, 2279780987489025 is an apocalyptic number.

279780987489025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

279780987489025 is the 16726655-th square number.

279780987489025 is the 8363328-th centered octagonal number.

It is an amenable number.

279780987489025 is a deficient number, since it is larger than the sum of its proper divisors (103921664017058).

279780987489025 is an frugal number, since it uses more digits than its factorization.

279780987489025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 10241925120, while the sum is 85.

The spelling of 279780987489025 in words is "two hundred seventy-nine trillion, seven hundred eighty billion, nine hundred eighty-seven million, four hundred eighty-nine thousand, twenty-five".

Divisors: 1 5 11 25 55 121 179 275 605 895 1699 1969 3025 4475 8495 9845 18689 21659 32041 42475 49225 93445 108295 160205 205579 304121 352451 467225 541475 801025 1027895 1520605 1762255 2886601 3345331 3876961 5139475 7603025 8811275 14433005 16726655 19384805 31752611 36798641 54437659 72165025 83633275 96924025 158763055 183993205 272188295 349278721 516701579 598814249 793815275 919966025 1360941475 1746393605 2583507895 2994071245 5683717369 6586956739 8731968025 12917539475 14970356225 28418586845 32934783695 62520891059 92489582641 142092934225 164673918475 312604455295 462447913205 1017385409051 1563022276475 2312239566025 5086927045255 11191239499561 25434635226275 55956197497805 279780987489025