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1969120125 = 385374
BaseRepresentation
bin111010101011110…
…0110001101111101
312002020020200000000
41311113212031331
513013043321000
6523221024513
766540150000
oct16527461575
95066220000
101969120125
11920576105
1246b555139
13254c54a4b
1414973b537
15b7d13000
hex755e637d

1969120125 has 180 divisors, whose sum is σ = 4300083996. Its totient is φ = 900169200.

The previous prime is 1969120121. The next prime is 1969120129. The reversal of 1969120125 is 5210219691.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1969120121) and next prime (1969120129).

It can be written as a sum of positive squares in 2 ways, for example, as 63011844 + 1906108281 = 7938^2 + 43659^2 .

It is not a de Polignac number, because 1969120125 - 22 = 1969120121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1969120125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1969120121) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 281302872 + ... + 281302878.

It is a vampire number, since it can be written as 2160991125 (with its own digits).

Almost surely, 21969120125 is an apocalyptic number.

1969120125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1969120125 is an abundant number, since it is smaller than the sum of its proper divisors (2330963871).

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

1969120125 is an frugal number, since it uses more digits than its factorization.

1969120125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1969120125 is about 44374.7690134833. The cubic root of 1969120125 is about 1253.4030204874.

The spelling of 1969120125 in words is "one billion, nine hundred sixty-nine million, one hundred twenty thousand, one hundred twenty-five".