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6408072001 = 89269267661
BaseRepresentation
bin1011111011111001…
…10110101101000001
3121112120220210020001
411331330312231001
5101110431301001
62535511120001
7314540466442
oct57574665501
917476823201
106408072001
11279920a381
1212aa073001
137b17a54a6
1444b0b52c9
15277893001
hex17df36b41

6408072001 has 8 divisors (see below), whose sum is σ = 6504186600. Its totient is φ = 6312493440.

The previous prime is 6408071983. The next prime is 6408072017. The reversal of 6408072001 is 1002708046.

6408072001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 910590976 + 5497481025 = 30176^2 + 74145^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6408072001 - 29 = 6408071489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6408072061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109890 + ... + 157771.

It is an arithmetic number, because the mean of its divisors is an integer number (813023325).

Almost surely, 26408072001 is an apocalyptic number.

It is an amenable number.

6408072001 is a deficient number, since it is larger than the sum of its proper divisors (96114599).

6408072001 is a wasteful number, since it uses less digits than its factorization.

6408072001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268019.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 6408072001 is about 80050.4341087542. The cubic root of 6408072001 is about 1857.4157661330.

The spelling of 6408072001 in words is "six billion, four hundred eight million, seventy-two thousand, one".

Divisors: 1 89 269 23941 267661 23821829 72000809 6408072001