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642001005 = 33517793541
BaseRepresentation
bin100110010001000…
…010100001101101
31122202001000211000
4212101002201231
52303323013010
6143412150513
721623630022
oct4621024155
91582030730
10642001005
112aa435948
1215b008439
13a3013169
146139b549
153b5677c0
hex2644286d

642001005 has 64 divisors (see below), whose sum is σ = 1224115200. Its totient is φ = 318090240.

The previous prime is 642000991. The next prime is 642001033. The reversal of 642001005 is 500100246.

It is a happy number.

It is not a de Polignac number, because 642001005 - 25 = 642000973 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179535 + ... + 183075.

It is an arithmetic number, because the mean of its divisors is an integer number (19126800).

Almost surely, 2642001005 is an apocalyptic number.

It is an amenable number.

642001005 is a deficient number, since it is larger than the sum of its proper divisors (582114195).

642001005 is a wasteful number, since it uses less digits than its factorization.

642001005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 642001005 is about 25337.7387507252. The cubic root of 642001005 is about 862.6710738163.

The spelling of 642001005 in words is "six hundred forty-two million, one thousand, five".

Divisors: 1 3 5 9 15 17 27 45 51 79 85 135 153 237 255 395 459 711 765 1185 1343 2133 2295 3541 3555 4029 6715 10623 10665 12087 17705 20145 31869 36261 53115 60197 60435 95607 159345 180591 181305 279739 300985 478035 541773 839217 902955 1398695 1625319 2517651 2708865 4196085 4755563 7552953 8126595 12588255 14266689 23777815 37764765 42800067 71333445 128400201 214000335 642001005