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1125684772992 = 2732133110124007
BaseRepresentation
bin10000011000011000000…
…010101000000010000000
310222121120220111102111100
4100120120002220002000
5121420400300213432
62221044335214400
7144220342460433
oct20303002500200
93877526442440
101125684772992
113a444478710a
121621b9677400
13821c814c0c0
143c6aa78381a
151e43583907c
hex106180a8080

1125684772992 has 384 divisors, whose sum is σ = 3636785617920. Its totient is φ = 331858944000.

The previous prime is 1125684772951. The next prime is 1125684773021. The reversal of 1125684772992 is 2992774865211.

1125684772992 is a `hidden beast` number, since 1 + 1 + 2 + 56 + 8 + 477 + 29 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46877853 + ... + 46901859.

It is an arithmetic number, because the mean of its divisors is an integer number (9470795880).

Almost surely, 21125684772992 is an apocalyptic number.

1125684772992 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 1125684772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818392808960).

1125684772992 is an abundant number, since it is smaller than the sum of its proper divisors (2511100844928).

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

1125684772992 is a wasteful number, since it uses less digits than its factorization.

1125684772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24172 (or 24157 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 1125684772992 in words is "one trillion, one hundred twenty-five billion, six hundred eighty-four million, seven hundred seventy-two thousand, nine hundred ninety-two".