| Base | Representation |
|---|---|
| bin | 10011010011001100… |
| … | …00111111110100000 |
| 3 | 222202010001120212000 |
| 4 | 21221212013332200 |
| 5 | 132210023131131 |
| 6 | 4432055404000 |
| 7 | 514524414660 |
| oct | 115146077640 |
| 9 | 28663046760 |
| 10 | 10361536416 |
| 11 | 44378a9740 |
| 12 | 2012083600 |
| 13 | c9188264a |
| 14 | 7041941a0 |
| 15 | 4099c4ce6 |
| hex | 269987fa0 |
10361536416 has 192 divisors, whose sum is σ = 37678556160. Its totient is φ = 2691290880.
The previous prime is 10361536357. The next prime is 10361536421. The reversal of 10361536416 is 61463516301.
10361536416 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 1 + 5 + 3 + 641 + 6 = 666.
10361536416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×103615364163 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 11346 + ... + 144401.
It is an arithmetic number, because the mean of its divisors is an integer number (196242480).
Almost surely, 210361536416 is an apocalyptic number.
10361536416 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 10361536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839278080).
10361536416 is an abundant number, since it is smaller than the sum of its proper divisors (27317019744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10361536416 is a wasteful number, since it uses less digits than its factorization.
10361536416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 155784 (or 155770 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The spelling of 10361536416 in words is "ten billion, three hundred sixty-one million, five hundred thirty-six thousand, four hundred sixteen".
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