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1076476053312 = 263311311182099
BaseRepresentation
bin11111010101000101111…
…10010000011101000000
310210220120110121110102000
433222202332100131000
5120114110332201222
62142305401424000
7140526036323412
oct17524276203500
93726513543360
101076476053312
11385592739740
1215476579b000
137a6852cb3aa
143a15d18c9b2
151d0056979ac
hexfaa2f90740

1076476053312 has 224 divisors, whose sum is σ = 3463454592000. Its totient is φ = 325154188800.

The previous prime is 1076476053293. The next prime is 1076476053337. The reversal of 1076476053312 is 2133506746701.

1076476053312 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 4 + 7 + 605 + 3 + 31 + 2 = 666.

It is a super-3 number, since 3×10764760533123 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

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, 5820439 + ... + 6002537.

Almost surely, 21076476053312 is an apocalyptic number.

1076476053312 is a gapful number since it is divisible by the number (12) 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 1076476053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731727296000).

1076476053312 is an abundant number, since it is smaller than the sum of its proper divisors (2386978538688).

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

1076476053312 is a wasteful number, since it uses less digits than its factorization.

1076476053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182442 (or 182426 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 1076476053312 in words is "one trillion, seventy-six billion, four hundred seventy-six million, fifty-three thousand, three hundred twelve".