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1005432345001 = 72151135887599
BaseRepresentation
bin11101010000110000111…
…00000001000110101001
310120010012022100010220001
432220120130001012221
5112433111140020001
62045520024303001
7132432356631400
oct16503034010651
93503168303801
101005432345001
11358446390117
12142a39311a61
1373a72882176
143693dacc637
151b248620001
hexea187011a9

1005432345001 has 12 divisors (see below), whose sum is σ = 1177330166400. Its totient is φ = 856091867400.

The previous prime is 1005432344929. The next prime is 1005432345067.

1005432345001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1005432345001 - 29 = 1005432344489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005432346001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67936401 + ... + 67951198.

It is an arithmetic number, because the mean of its divisors is an integer number (98110847200).

Almost surely, 21005432345001 is an apocalyptic number.

It is an amenable number.

1005432345001 is a deficient number, since it is larger than the sum of its proper divisors (171897821399).

1005432345001 is a wasteful number, since it uses less digits than its factorization.

1005432345001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135887764 (or 135887757 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 1005432345001 in words is "one trillion, five billion, four hundred thirty-two million, three hundred forty-five thousand, one".

Divisors: 1 7 49 151 1057 7399 135887599 951213193 6658492351 20519027449 143633192143 1005432345001