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2134923975 = 325212774713
BaseRepresentation
bin111111101000000…
…0101101011000111
312111210020101010100
41333100011223013
513333020031400
6551502455143
7103622361102
oct17720055307
95453211110
102134923975
119a6121a88
124b6b944b3
132803c8132
1416377b739
15c7665100
hex7f405ac7

2134923975 has 36 divisors (see below), whose sum is σ = 3854046976. Its totient is φ = 1129645440.

The previous prime is 2134923941. The next prime is 2134923977. The reversal of 2134923975 is 5793294312.

2134923975 is a `hidden beast` number, since 2 + 1 + 349 + 239 + 75 = 666.

It is not a de Polignac number, because 2134923975 - 211 = 2134921927 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 2134923975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134923977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8782 + ... + 65931.

Almost surely, 22134923975 is an apocalyptic number.

2134923975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2134923975 is a deficient number, since it is larger than the sum of its proper divisors (1719123001).

2134923975 is a wasteful number, since it uses less digits than its factorization.

2134923975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74856 (or 74848 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 2134923975 is about 46205.2375277955. The cubic root of 2134923975 is about 1287.6390474139.

The spelling of 2134923975 in words is "two billion, one hundred thirty-four million, nine hundred twenty-three thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 127 225 381 635 1143 1905 3175 5715 9525 28575 74713 224139 373565 672417 1120695 1867825 3362085 5603475 9488551 16810425 28465653 47442755 85396959 142328265 237213775 426984795 711641325 2134923975