Search a number
-
+
50232912129 = 3827672
BaseRepresentation
bin101110110010000111…
…010110100100000001
311210122211002100000000
4232302013112210001
51310334111142004
635024321350213
73425550464601
oct566207264401
9153584070000
1050232912129
111a338195414
12989aa98369
1349770ab65a
14260763cc01
151490050c39
hexbb21d6901

50232912129 has 27 divisors (see below), whose sum is σ = 75372779937. Its totient is φ = 33476505228.

The previous prime is 50232912109. The next prime is 50232912133. The reversal of 50232912129 is 92121923205.

The square root of 50232912129 is 224127.

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

50232912129 is a `hidden beast` number, since 502 + 3 + 2 + 9 + 121 + 29 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 50232912129 - 213 = 50232903937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 50232912093 and 50232912102.

It is not an unprimeable number, because it can be changed into a prime (50232912109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18152904 + ... + 18155670.

Almost surely, 250232912129 is an apocalyptic number.

50232912129 is the 224127-th square number.

50232912129 is the 112064-th centered octagonal number.

It is an amenable number.

50232912129 is a deficient number, since it is larger than the sum of its proper divisors (25139867808).

50232912129 is an frugal number, since it uses more digits than its factorization.

50232912129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5558 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 50232912129 by its sum of digits (36), we get a square (1808384836644 = 13447622).

It can be divided in two parts, 50232 and 912129, that added together give a square (962361 = 9812).

The spelling of 50232912129 in words is "fifty billion, two hundred thirty-two million, nine hundred twelve thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 81 243 729 2187 2767 6561 8301 24903 74709 224127 672381 2017143 6051429 7656289 18154287 22968867 68906601 206719803 620159409 1860478227 5581434681 16744304043 50232912129