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553428046080 = 283357213231093
BaseRepresentation
bin10000000110110101110…
…00011101000100000000
31221220111100111200001000
420003122320131010000
533031410034433310
61102124043412000
754661314526500
oct10033270350400
91856440450030
10553428046080
111a3786782288
128b311b24000
134025a183120
141cb00d41a00
15e5e14204c0
hex80dae1d100

553428046080 has 1728 divisors, whose sum is σ = 2569588600320. Its totient is φ = 111588212736.

The previous prime is 553428046033. The next prime is 553428046147. The reversal of 553428046080 is 80640824355.

553428046080 is a `hidden beast` number, since 5 + 5 + 34 + 2 + 8 + 0 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 506338014 + ... + 506339106.

It is an arithmetic number, because the mean of its divisors is an integer number (1487030440).

Almost surely, 2553428046080 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 553428046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284794300160).

553428046080 is an abundant number, since it is smaller than the sum of its proper divisors (2016160554240).

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

553428046080 is a wasteful number, since it uses less digits than its factorization.

553428046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 553428046080 in words is "five hundred fifty-three billion, four hundred twenty-eight million, forty-six thousand, eighty".