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550506056100 = 22352711136727361
BaseRepresentation
bin10000000001011001011…
…01111100100110100100
31221121221201021012022220
420000230231330212210
533004414022243400
61100522103152340
754526024161330
oct10005455744644
91847851235286
10550506056100
111a2517353a30
128a8374456b0
133cbb29b3280
141c904c447c0
15e4beb3a7a0
hex802cb7c9a4

550506056100 has 576 divisors, whose sum is σ = 2170579740672. Its totient is φ = 104011776000.

The previous prime is 550506056099. The next prime is 550506056119. The reversal of 550506056100 is 1650605055.

550506056100 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 191 ways as a sum of consecutive naturals, for example, 20106420 + ... + 20133780.

Almost surely, 2550506056100 is an apocalyptic number.

550506056100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550506056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085289870336).

550506056100 is an abundant number, since it is smaller than the sum of its proper divisors (1620073684572).

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

550506056100 is a wasteful number, since it uses less digits than its factorization.

550506056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27476 (or 27469 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 550506056100 in words is "five hundred fifty billion, five hundred six million, fifty-six thousand, one hundred".