Search a number
-
+
27151130176 = 264324792
BaseRepresentation
bin11001010010010101…
…010101111001000000
32121002012122022122221
4121102111111321000
5421101142131201
620250102540424
71650554540632
oct312225257100
977065568587
1027151130176
1110573117a65
125318a37714
1327390b7001
141457d42a52
15a8d9894a1
hex652555e40

27151130176 has 63 divisors (see below), whose sum is σ = 55275537531. Its totient is φ = 13232171904.

The previous prime is 27151130141. The next prime is 27151130191. The reversal of 27151130176 is 67103115172.

It is a happy number.

The square root of 27151130176 is 164776.

It is a perfect power (a square), and thus also a powerful 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, 56682705 + ... + 56683183.

Almost surely, 227151130176 is an apocalyptic number.

27151130176 is the 164776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27151130176

27151130176 is an abundant number, since it is smaller than the sum of its proper divisors (28124407355).

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

27151130176 is an frugal number, since it uses more digits than its factorization.

27151130176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 27151130176 in words is "twenty-seven billion, one hundred fifty-one million, one hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 479 688 958 1376 1849 1916 2752 3698 3832 7396 7664 14792 15328 20597 29584 30656 41194 59168 82388 118336 164776 229441 329552 458882 659104 885671 917764 1318208 1771342 1835528 3542684 3671056 7085368 7342112 9865963 14170736 14684224 19731926 28341472 39463852 56682944 78927704 157855408 315710816 424236409 631421632 848472818 1696945636 3393891272 6787782544 13575565088 27151130176