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2735161540 = 225136758077
BaseRepresentation
bin1010001100000111…
…0100000011000100
321001121200121021021
42203001310003010
521100200132130
61131224000524
7124531326616
oct24301640304
97047617237
102735161540
111183a22391
12644000144
13347877ba7
141bd386db6
151101cd37a
hexa30740c4

2735161540 has 12 divisors (see below), whose sum is σ = 5743839276. Its totient is φ = 1094064608.

The previous prime is 2735161531. The next prime is 2735161543. The reversal of 2735161540 is 451615372.

It can be written as a sum of positive squares in 2 ways, for example, as 418857156 + 2316304384 = 20466^2 + 48128^2 .

It is a super-2 number, since 2×27351615402 = 14962217299790343200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2735161496 and 2735161505.

It is not an unprimeable number, because it can be changed into a prime (2735161543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68379019 + ... + 68379058.

It is an arithmetic number, because the mean of its divisors is an integer number (478653273).

Almost surely, 22735161540 is an apocalyptic number.

2735161540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2735161540 is an abundant number, since it is smaller than the sum of its proper divisors (3008677736).

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

2735161540 is a wasteful number, since it uses less digits than its factorization.

2735161540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136758086 (or 136758084 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 2735161540 is about 52298.7718785059. The cubic root of 2735161540 is about 1398.4952437727.

The spelling of 2735161540 in words is "two billion, seven hundred thirty-five million, one hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 136758077 273516154 547032308 683790385 1367580770 2735161540