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32140546461 = 323571171829
BaseRepresentation
bin11101111011101110…
…011101000110011101
310001221221002221002200
4131323232131012131
51011310434441321
622433135242113
72215321065042
oct357356350635
9101857087080
1032140546461
11126a35562a1
12628b979339
1330529ab43a
1417ac84b1c9
15c819eed26
hex77bb9d19d

32140546461 has 6 divisors (see below), whose sum is σ = 46425233790. Its totient is φ = 21427030968.

The previous prime is 32140546423. The next prime is 32140546499. The reversal of 32140546461 is 16464504123.

32140546461 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 0 + 5 + 4 + 646 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (32140546423) and next prime (32140546499).

It can be written as a sum of positive squares in only one way, i.e., 18654369561 + 13486176900 = 136581^2 + 116130^2 .

It is not a de Polignac number, because 32140546461 - 26 = 32140546397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32140546961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1785585906 + ... + 1785585923.

It is an arithmetic number, because the mean of its divisors is an integer number (7737538965).

Almost surely, 232140546461 is an apocalyptic number.

It is an amenable number.

32140546461 is a deficient number, since it is larger than the sum of its proper divisors (14284687329).

32140546461 is a wasteful number, since it uses less digits than its factorization.

32140546461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571171835 (or 3571171832 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 32140546461 in words is "thirty-two billion, one hundred forty million, five hundred forty-six thousand, four hundred sixty-one".

Divisors: 1 3 9 3571171829 10713515487 32140546461