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1642122406000 = 24534120025883
BaseRepresentation
bin10111111001010110000…
…111110110100001110000
312210222121100000102011101
4113321112013312201300
5203401031313443000
63254214114054144
7226432216101316
oct27712607664160
95728540012141
101642122406000
1158346931957a
1222630757a354
13bbb0b90ca2b
145969cad80b6
152caae5abe6a
hex17e561f6870

1642122406000 has 80 divisors (see below), whose sum is σ = 4067497351008. Its totient is φ = 640828224000.

The previous prime is 1642122405977. The next prime is 1642122406021. The reversal of 1642122406000 is 6042212461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1642122406000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9930942 + ... + 10094941.

Almost surely, 21642122406000 is an apocalyptic number.

1642122406000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1642122406000 is an abundant number, since it is smaller than the sum of its proper divisors (2425374945008).

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

1642122406000 is a wasteful number, since it uses less digits than its factorization.

1642122406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20025947 (or 20025931 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1642122406000 its reverse (6042212461), we get a palindrome (1648164618461).

The spelling of 1642122406000 in words is "one trillion, six hundred forty-two billion, one hundred twenty-two million, four hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 41000 82000 20025883 40051766 80103532 100129415 160207064 200258830 320414128 400517660 500647075 801035320 821061203 1001294150 1602070640 1642122406 2002588300 2503235375 3284244812 4005176600 4105306015 5006470750 6568489624 8010353200 8210612030 10012941500 13136979248 16421224060 20025883000 20526530075 32842448120 40051766000 41053060150 65684896240 82106120300 102632650375 164212240600 205265300750 328424481200 410530601500 821061203000 1642122406000