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245955673484676 = 223226138292
BaseRepresentation
bin110111111011001000000100…
…100011000110110110000100
31012020212010120202221100000100
4313323020010203012312010
5224214214204403002201
62231034250533444100
7102543465605622441
oct6773100443066604
91166763522840010
10245955673484676
11714072406a3831
1223703a354a0630
13a73169c68c82c
1444a4464c949c8
151d67d114db886
hexdfb2048c6d84

245955673484676 has 27 divisors (see below), whose sum is σ = 621721523611461. Its totient is φ = 81985193128944.

The previous prime is 245955673484663. The next prime is 245955673484747. The reversal of 245955673484676 is 676484376559542.

It is a happy number.

The square root of 245955673484676 is 15682974.

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

245955673484676 is a `hidden beast` number, since 2 + 4 + 5 + 9 + 5 + 5 + 6 + 73 + 484 + 67 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105017937726276 + 140937735758400 = 10247826^2 + 11871720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 245955673484595 and 245955673484604.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 92790930 + ... + 95404758.

Almost surely, 2245955673484676 is an apocalyptic number.

245955673484676 is the 15682974-th square number.

It is an amenable number.

245955673484676 is an abundant number, since it is smaller than the sum of its proper divisors (375765850126785).

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

245955673484676 is an frugal number, since it uses more digits than its factorization.

245955673484676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227668 (or 2613834 counting only the distinct ones).

The product of its digits is 36578304000, while the sum is 81.

The spelling of 245955673484676 in words is "two hundred forty-five trillion, nine hundred fifty-five billion, six hundred seventy-three million, four hundred eighty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 2613829 5227658 7841487 10455316 15682974 23524461 31365948 47048922 94097844 6832102041241 13664204082482 20496306123723 27328408164964 40992612247446 61488918371169 81985224494892 122977836742338 245955673484676