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149287186129 = 23210721572
BaseRepresentation
bin1000101100001000110…
…1011010111011010001
3112021100002011211001211
42023002031122323101
54421220004424004
6152325342300121
713533322100464
oct2130215327321
9467302154054
10149287186129
11583487a7584
1224b23b87641
13111019a47c3
147322c3d2db
153d3b22a504
hex22c235aed1

149287186129 has 27 divisors (see below), whose sum is σ = 158542057947. Its totient is φ = 140560861584.

The previous prime is 149287186127. The next prime is 149287186157. The reversal of 149287186129 is 921681782941.

The square root of 149287186129 is 386377.

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., 43758364225 + 105528821904 = 209185^2 + 324852^2 .

It is not a de Polignac number, because 149287186129 - 21 = 149287186127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149287186127) 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, 950873719 + ... + 950873875.

Almost surely, 2149287186129 is an apocalyptic number.

149287186129 is the 386377-th square number.

149287186129 is the 193189-th centered octagonal number.

It is an amenable number.

149287186129 is a deficient number, since it is larger than the sum of its proper divisors (9254871818).

149287186129 is an frugal number, since it uses more digits than its factorization.

149287186129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 58.

The spelling of 149287186129 in words is "one hundred forty-nine billion, two hundred eighty-seven million, one hundred eighty-six thousand, one hundred twenty-nine".

Divisors: 1 23 107 157 529 2461 3611 11449 16799 24649 56603 83053 263327 386377 566927 1797493 2637443 6056521 8886671 13039321 41342339 60661189 282206401 950873797 1395207347 6490747223 149287186129