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2974049666016 = 2531113792742293
BaseRepresentation
bin101011010001110011001…
…011001000001111100000
3101112022112122010201111020
4223101303023020033200
5342211323203303031
610154132021445440
7424603503025512
oct53216313101740
911468478121436
102974049666016
11a47318559770
12400483270880
131875b44588b0
14a3d3264dbb2
1552566401096
hex2b4732c83e0

2974049666016 has 192 divisors, whose sum is σ = 9287820702720. Its totient is φ = 821371299840.

The previous prime is 2974049665987. The next prime is 2974049666039. The reversal of 2974049666016 is 6106669404792.

It is a happy number.

It is a super-2 number, since 2×29740496660162 (a number of 26 digits) contains 22 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, 286635 + ... + 2455658.

It is an arithmetic number, because the mean of its divisors is an integer number (48374066160).

Almost surely, 22974049666016 is an apocalyptic number.

2974049666016 is a gapful number since it is divisible by the number (26) 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 2974049666016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643910351360).

2974049666016 is an abundant number, since it is smaller than the sum of its proper divisors (6313771036704).

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

2974049666016 is a wasteful number, since it uses less digits than its factorization.

2974049666016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742409 (or 2742401 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 2974049666016 in words is "two trillion, nine hundred seventy-four billion, forty-nine million, six hundred sixty-six thousand, sixteen".