Search a number
-
+
25314082816 = 2141121132
BaseRepresentation
bin10111100100110101…
…100100000000000000
32102100011220122102211
4113210311210000000
5403320401122231
615343520351504
71554210103501
oct274465440000
972304818384
1025314082816
11a81015a100
124aa5775594
132505625339
141321d84ba8
159d2563eb1
hex5e4d64000

25314082816 has 135 divisors (see below), whose sum is σ = 56144255713. Its totient is φ = 11404574720.

The previous prime is 25314082789. The next prime is 25314082823. The reversal of 25314082816 is 61828041352.

The square root of 25314082816 is 159104.

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., 446054400 + 24868028416 = 21120^2 + 157696^2 .

It is a Duffinian number.

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, 224018376 + ... + 224018488.

Almost surely, 225314082816 is an apocalyptic number.

25314082816 is the 159104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25314082816

25314082816 is an abundant number, since it is smaller than the sum of its proper divisors (30830172897).

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

25314082816 is an frugal number, since it uses more digits than its factorization.

25314082816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 25314082816 in words is "twenty-five billion, three hundred fourteen million, eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 121 128 176 226 242 256 352 452 484 512 704 904 968 1024 1243 1408 1808 1936 2048 2486 2816 3616 3872 4096 4972 5632 7232 7744 8192 9944 11264 12769 13673 14464 15488 16384 19888 22528 25538 27346 28928 30976 39776 45056 51076 54692 57856 61952 79552 90112 102152 109384 115712 123904 140459 159104 180224 204304 218768 231424 247808 280918 318208 408608 437536 462848 495616 561836 636416 817216 875072 925696 991232 1123672 1272832 1545049 1634432 1750144 1851392 1982464 2247344 2545664 3090098 3268864 3500288 4494688 5091328 6180196 6537728 7000576 8989376 10182656 12360392 13075456 14001152 17978752 20365312 24720784 26150912 28002304 35957504 49441568 52301824 56004608 71915008 98883136 104603648 112009216 143830016 197766272 209207296 224018432 287660032 395532544 575320064 791065088 1150640128 1582130176 2301280256 3164260352 6328520704 12657041408 25314082816