| Base | Representation |
|---|---|
| bin | 110001011110011010… |
| … | …1110001010111100000 |
| 3 | 101011020120021112201100 |
| 4 | 1202330311301113200 |
| 5 | 3220043320140202 |
| 6 | 120450455034400 |
| 7 | 10450624143000 |
| oct | 1427465612740 |
| 9 | 334216245640 |
| 10 | 106247427552 |
| 11 | 410719a2972 |
| 12 | 1871206ba00 |
| 13 | a032c2a036 |
| 14 | 51dca7a000 |
| 15 | 2b6c94941c |
| hex | 18bcd715e0 |
106247427552 has 576 divisors, whose sum is σ = 371223216000. Its totient is φ = 28774932480.
The previous prime is 106247427493. The next prime is 106247427581. The reversal of 106247427552 is 255724742601.
106247427552 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 4 + 74 + 27 + 552 = 666.
It is a super-2 number, since 2×1062474275522 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 106247427498 and 106247427507.
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 95 ways as a sum of consecutive naturals, for example, 149854974 + ... + 149855682.
It is an arithmetic number, because the mean of its divisors is an integer number (644484750).
Almost surely, 2106247427552 is an apocalyptic number.
106247427552 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 106247427552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185611608000).
106247427552 is an abundant number, since it is smaller than the sum of its proper divisors (264975788448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106247427552 is a wasteful number, since it uses less digits than its factorization.
106247427552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 824 (or 799 counting only the distinct ones).
The product of its (nonzero) digits is 940800, while the sum is 45.
It can be divided in two parts, 1062474 and 27552, that added together give a triangular number (1090026 = T1476).
The spelling of 106247427552 in words is "one hundred six billion, two hundred forty-seven million, four hundred twenty-seven thousand, five hundred fifty-two".
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