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55145050400 = 2552116266483
BaseRepresentation
bin110011010110111001…
…101011000100100000
312021100011010210221002
4303112321223010200
51400414113103100
641155553451132
73661355123456
oct632671530440
9167304123832
1055145050400
1121428a41620
12a82bb70aa8
13527a98664b
142951b8c9d6
15167b3ee2d5
hexcd6e6b120

55145050400 has 72 divisors (see below), whose sum is σ = 146861319024. Its totient is φ = 20052742400.

The previous prime is 55145050399. The next prime is 55145050423. The reversal of 55145050400 is 405054155.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 3124442 + ... + 3142041.

It is an arithmetic number, because the mean of its divisors is an integer number (2039740542).

Almost surely, 255145050400 is an apocalyptic number.

55145050400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55145050400 is an abundant number, since it is smaller than the sum of its proper divisors (91716268624).

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

55145050400 is a wasteful number, since it uses less digits than its factorization.

55145050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266514 (or 6266501 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 29.

The spelling of 55145050400 in words is "fifty-five billion, one hundred forty-five million, fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 6266483 12532966 25065932 31332415 50131864 62664830 68931313 100263728 125329660 137862626 156662075 200527456 250659320 275725252 313324150 344656565 501318640 551450504 626648300 689313130 1002637280 1102901008 1253296600 1378626260 1723282825 2205802016 2506593200 2757252520 3446565650 5013186400 5514505040 6893131300 11029010080 13786262600 27572525200 55145050400