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553676700960 = 25335359335671
BaseRepresentation
bin10000000111010011011…
…00111111110100100000
31221221010200101122102000
420003221230333310200
533032412213412320
61102204445124000
755000424210025
oct10035154776440
91857120348360
10553676700960
111a38a4077389
128b381259600
13402998444a6
141cb25d8b54c
15e60818ac90
hex80e9b3fd20

553676700960 has 192 divisors, whose sum is σ = 1938462140160. Its totient is φ = 147601889280.

The previous prime is 553676700881. The next prime is 553676701043. The reversal of 553676700960 is 69007676355.

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 = 553676700897 and 553676700906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15503925 + ... + 15539595.

It is an arithmetic number, because the mean of its divisors is an integer number (10096156980).

Almost surely, 2553676700960 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 553676700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969231070080).

553676700960 is an abundant number, since it is smaller than the sum of its proper divisors (1384785439200).

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

553676700960 is a wasteful number, since it uses less digits than its factorization.

553676700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39288 (or 39274 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 553676700960 in words is "five hundred fifty-three billion, six hundred seventy-six million, seven hundred thousand, nine hundred sixty".