| Base | Representation |
|---|---|
| bin | 111010101111100111… |
| … | …1110000100000000000 |
| 3 | 110001121202021111120000 |
| 4 | 1311133033300200000 |
| 5 | 4031324404033140 |
| 6 | 133541535320000 |
| 7 | 12054110313465 |
| oct | 1653717604000 |
| 9 | 401552244500 |
| 10 | 126152017920 |
| 11 | 49556586255 |
| 12 | 20548080000 |
| 13 | bb8590a666 |
| 14 | 616a40766c |
| 15 | 343511aa30 |
| hex | 1d5f3f0800 |
126152017920 has 240 divisors, whose sum is σ = 452170899180. Its totient is φ = 33640316928.
The previous prime is 126152017883. The next prime is 126152017921. The reversal of 126152017920 is 29710251621.
126152017920 is a `hidden beast` number, since 1 + 2 + 61 + 520 + 1 + 79 + 2 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 123251549184 + 2900468736 = 351072^2 + 53856^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1261520179202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (126152017921) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 753394 + ... + 905486.
Almost surely, 2126152017920 is an apocalyptic number.
126152017920 is a gapful number since it is divisible by the number (10) 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 126152017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226085449590).
126152017920 is an abundant number, since it is smaller than the sum of its proper divisors (326018881260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126152017920 is an equidigital number, since it uses as much as digits as its factorization.
126152017920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152132 (or 152103 counting only the distinct ones).
The product of its (nonzero) digits is 15120, while the sum is 36.
The spelling of 126152017920 in words is "one hundred twenty-six billion, one hundred fifty-two million, seventeen thousand, nine hundred twenty".
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