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1422641603552 = 2513113151120029
BaseRepresentation
bin10100101100111100000…
…011000010001111100000
312001000002100011102120012
4110230330003002033200
5141302032222303202
63005315202504052
7204532246052021
oct24547403021740
95030070142505
101422641603552
114a9380108144
121ab873965028
13a4201660120
144cbdb682c48
1527015c78152
hex14b3c0c23e0

1422641603552 has 96 divisors (see below), whose sum is σ = 3045132377280. Its totient is φ = 650329989120.

The previous prime is 1422641603543. The next prime is 1422641603573. The reversal of 1422641603552 is 2553061462241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71019074 + ... + 71039102.

It is an arithmetic number, because the mean of its divisors is an integer number (31720128930).

Almost surely, 21422641603552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422641603552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522566188640).

1422641603552 is an abundant number, since it is smaller than the sum of its proper divisors (1622490773728).

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

1422641603552 is a wasteful number, since it uses less digits than its factorization.

1422641603552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21676 (or 21668 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 1422641603552 in words is "one trillion, four hundred twenty-two billion, six hundred forty-one million, six hundred three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 208 226 416 452 904 1469 1511 1808 2938 3022 3616 5876 6044 11752 12088 19643 20029 23504 24176 39286 40058 47008 48352 78572 80116 157144 160232 170743 260377 314288 320464 341486 520754 628576 640928 682972 1041508 1365944 2083016 2219659 2263277 2731888 4166032 4439318 4526554 5463776 8332064 8878636 9053108 17757272 18106216 29422601 30263819 35514544 36212432 58845202 60527638 71029088 72424864 117690404 121055276 235380808 242110552 393429647 470761616 484221104 786859294 941523232 968442208 1573718588 3147437176 3419811547 6294874352 6839623094 12589748704 13679246188 27358492376 44457550111 54716984752 88915100222 109433969504 177830200444 355660400888 711320801776 1422641603552