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550987641360 = 243451329415501
BaseRepresentation
bin10000000010010010110…
…11000011001000010000
31221200012021110021010000
420001021123003020100
533011410314010420
61101041545210000
754543662451102
oct10011133031020
91850167407100
10550987641360
111a2744183082
128a950790900
133cc5b6bb670
141c94cba5572
15e4ec067690
hex80496c3210

550987641360 has 800 divisors, whose sum is σ = 2184326131680. Its totient is φ = 127733760000.

The previous prime is 550987641329. The next prime is 550987641377. The reversal of 550987641360 is 63146789055.

550987641360 is a `hidden beast` number, since 5 + 509 + 8 + 7 + 64 + 13 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 177500430864 + 373487210496 = 421308^2 + 611136^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 550987641297 and 550987641306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 100158610 + ... + 100164110.

Almost surely, 2550987641360 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 550987641360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092163065840).

550987641360 is an abundant number, since it is smaller than the sum of its proper divisors (1633338490320).

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

550987641360 is a wasteful number, since it uses less digits than its factorization.

550987641360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 550987641360 in words is "five hundred fifty billion, nine hundred eighty-seven million, six hundred forty-one thousand, three hundred sixty".