Search a number
-
+
129206225385 = 345319027717
BaseRepresentation
bin111100001010101001…
…0101000100111101001
3110100111121022022120000
41320111102220213221
54104103243203020
6135205001453213
712222564536436
oct1702522504751
9410447268500
10129206225385
114a883600556
122105aaa1209
13c2515c1403
146379cc0b8d
15356331b090
hex1e154a89e9

129206225385 has 20 divisors (see below), whose sum is σ = 231614123268. Its totient is φ = 68909986656.

The previous prime is 129206225381. The next prime is 129206225399. The reversal of 129206225385 is 583522602921.

129206225385 is a `hidden beast` number, since 1 + 2 + 92 + 0 + 6 + 22 + 538 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85830249024 + 43375976361 = 292968^2 + 208269^2 .

It is not a de Polignac number, because 129206225385 - 22 = 129206225381 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 129206225385.

It is not an unprimeable number, because it can be changed into a prime (129206225381) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159513454 + ... + 159514263.

Almost surely, 2129206225385 is an apocalyptic number.

129206225385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129206225385 is a deficient number, since it is larger than the sum of its proper divisors (102407897883).

129206225385 is an equidigital number, since it uses as much as digits as its factorization.

129206225385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319027734 (or 319027725 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 129206225385 in words is "one hundred twenty-nine billion, two hundred six million, two hundred twenty-five thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 319027717 957083151 1595138585 2871249453 4785415755 8613748359 14356247265 25841245077 43068741795 129206225385