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1116485035776 = 283211219415397
BaseRepresentation
bin10000001111110011101…
…100011010011100000000
310221201211202120100112100
4100033303230122130000
5121243030132121101
62212523421030400
7143443353135225
oct20176354323400
93851752510470
101116485035776
113a0553772400
121604706b5400
13813901a7306
143c076a1794c
151e097d55e86
hex103f3b1a700

1116485035776 has 1296 divisors, whose sum is σ = 3927489340320. Its totient is φ = 303641395200.

The previous prime is 1116485035727. The next prime is 1116485035801. The reversal of 1116485035776 is 6775305846111.

1116485035776 is a `hidden beast` number, since 1 + 1 + 1 + 64 + 8 + 5 + 0 + 3 + 577 + 6 = 666.

It is a super-2 number, since 2×11164850357762 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11510154960 + ... + 11510155056.

It is an arithmetic number, because the mean of its divisors is an integer number (3030470170).

Almost surely, 21116485035776 is an apocalyptic number.

1116485035776 is a gapful number since it is divisible by the number (16) 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 1116485035776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963744670160).

1116485035776 is an abundant number, since it is smaller than the sum of its proper divisors (2811004304544).

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

1116485035776 is a wasteful number, since it uses less digits than its factorization.

1116485035776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1116485035776 in words is "one trillion, one hundred sixteen billion, four hundred eighty-five million, thirty-five thousand, seven hundred seventy-six".