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1054992755232 = 25321310725710247
BaseRepresentation
bin11110101101000100111…
…01111110101000100000
310201212010020222211201100
433112202131332220200
5114241111121131412
62124353524034400
7136135463313333
oct17264235765040
93655106884640
101054992755232
113774689a7939
1215056ab32a00
137864052b6b0
14390c1cb061a
151c6995d0edc
hexf5a277ea20

1054992755232 has 288 divisors, whose sum is σ = 3274119418752. Its totient is φ = 320296845312.

The previous prime is 1054992755209. The next prime is 1054992755237. The reversal of 1054992755232 is 2325572994501.

1054992755232 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 99 + 27 + 5 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10549927552322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054992755237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102951133 + ... + 102961379.

It is an arithmetic number, because the mean of its divisors is an integer number (11368470204).

Almost surely, 21054992755232 is an apocalyptic number.

1054992755232 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 1054992755232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637059709376).

1054992755232 is an abundant number, since it is smaller than the sum of its proper divisors (2219126663520).

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

1054992755232 is a wasteful number, since it uses less digits than its factorization.

1054992755232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10640 (or 10629 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 1054992755232 in words is "one trillion, fifty-four billion, nine hundred ninety-two million, seven hundred fifty-five thousand, two hundred thirty-two".