| Base | Representation |
|---|---|
| bin | 111011001000000000… |
| … | …0010001000110100000 |
| 3 | 110010201202112100220100 |
| 4 | 1312100000101012200 |
| 5 | 4040013312300421 |
| 6 | 134155040342400 |
| 7 | 12113302352610 |
| oct | 1662000210640 |
| 9 | 403652470810 |
| 10 | 126970040736 |
| 11 | 49936306970 |
| 12 | 20736014a00 |
| 13 | bc86230a26 |
| 14 | 6206d04a40 |
| 15 | 3481d52c26 |
| hex | 1d900111a0 |
126970040736 has 288 divisors, whose sum is σ = 451979813376. Its totient is φ = 32846400000.
The previous prime is 126970040711. The next prime is 126970040761. The reversal of 126970040736 is 637040079621.
126970040736 is a `hidden beast` number, since 126 + 97 + 0 + 0 + 407 + 36 = 666.
It is an interprime number because it is at equal distance from previous prime (126970040711) and next prime (126970040761).
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1269700407362 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 126970040691 and 126970040700.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5554771 + ... + 5577581.
It is an arithmetic number, because the mean of its divisors is an integer number (1569374352).
Almost surely, 2126970040736 is an apocalyptic number.
126970040736 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 126970040736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225989906688).
126970040736 is an abundant number, since it is smaller than the sum of its proper divisors (325009772640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126970040736 is a wasteful number, since it uses less digits than its factorization.
126970040736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23096 (or 23085 counting only the distinct ones).
The product of its (nonzero) digits is 381024, while the sum is 45.
The spelling of 126970040736 in words is "one hundred twenty-six billion, nine hundred seventy million, forty thousand, seven hundred thirty-six".
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