| Base | Representation |
|---|---|
| bin | 110100010010011110110001… |
| … | …100100110000010011000000 |
| 3 | 1010011020202200010001122222100 |
| 4 | 310102132301210300103000 |
| 5 | 220120300302230210333 |
| 6 | 2133034010332310400 |
| 7 | 66303445442040540 |
| oct | 6422366144602300 |
| 9 | 1104222603048870 |
| 10 | 229968413131968 |
| 11 | 67303068a48995 |
| 12 | 21961504312400 |
| 13 | 9b41c0b64a574 |
| 14 | 40b075dccd320 |
| 15 | 1b8c015c86213 |
| hex | d127b19304c0 |
229968413131968 has 672 divisors, whose sum is σ = 787342935002624. Its totient is φ = 62816193183744.
The previous prime is 229968413131949. The next prime is 229968413131981. The reversal of 229968413131968 is 869131314869922.
229968413131968 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 6 + 8 + 413 + 13 + 196 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 229968413131896 and 229968413131905.
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, 1823679096 + ... + 1823805192.
Almost surely, 2229968413131968 is an apocalyptic number.
229968413131968 is a gapful number since it is divisible by the number (28) 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 229968413131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393671467501312).
229968413131968 is an abundant number, since it is smaller than the sum of its proper divisors (557374521870656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
229968413131968 is a wasteful number, since it uses less digits than its factorization.
229968413131968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126389 (or 126376 counting only the distinct ones).
The product of its digits is 241864704, while the sum is 72.
The spelling of 229968413131968 in words is "two hundred twenty-nine trillion, nine hundred sixty-eight billion, four hundred thirteen million, one hundred thirty-one thousand, nine hundred sixty-eight".
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