Search a number
-
+
20150086401 = 32473172
BaseRepresentation
bin10010110001000010…
…011110101100000001
31221000021221110002100
4102301002132230001
5312231410231101
613131250141013
71312223623404
oct226102365401
957007843070
1020150086401
118600220175
123aa4281769
131b91806c63
14d921d3d3b
157ce015e86
hex4b109eb01

20150086401 has 9 divisors (see below), whose sum is σ = 29106295491. Its totient is φ = 13433107032.

The previous prime is 20150086381. The next prime is 20150086403. The reversal of 20150086401 is 10468005102.

The square root of 20150086401 is 141951.

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

20150086401 is a `hidden beast` number, since 2 + 0 + 15 + 0 + 0 + 8 + 640 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17642480625 + 2507605776 = 132825^2 + 50076^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 20150086401 - 29 = 20150085889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20150086403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 402195 + ... + 449511.

Almost surely, 220150086401 is an apocalyptic number.

20150086401 is the 141951-st square number.

20150086401 is the 70976-th centered octagonal number.

It is an amenable number.

20150086401 is a deficient number, since it is larger than the sum of its proper divisors (8956209090).

20150086401 is an frugal number, since it uses more digits than its factorization.

20150086401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94640 (or 47320 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 20150086401 in words is "twenty billion, one hundred fifty million, eighty-six thousand, four hundred one".

Divisors: 1 3 9 47317 141951 425853 2238898489 6716695467 20150086401