Base | Representation |
---|---|
bin | 110100011011000011110101… |
… | …000100001010101000000000 |
3 | 1010020100010101100220022100000 |
4 | 310123003311010022220000 |
5 | 220204430143211144141 |
6 | 2134204510205200000 |
7 | 66364156036301640 |
oct | 6433036504125000 |
9 | 1106303340808300 |
10 | 230557955959296 |
11 | 67510097561919 |
12 | 21a37814b60000 |
13 | 9b856a297bc24 |
14 | 40d10c9406520 |
15 | 1b9c51ca3c5b6 |
hex | d1b0f510aa00 |
230557955959296 has 3840 divisors, whose sum is σ = 927198415503360. Its totient is φ = 55622432194560.
The previous prime is 230557955959277. The next prime is 230557955959297. The reversal of 230557955959296 is 692959559755032.
230557955959296 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 5 + 7 + 9 + 559 + 59 + 2 + 9 + 6 = 666.
It is a super-2 number, since 2×2305579559592962 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (81).
It is not an unprimeable number, because it can be changed into a prime (230557955959297) by changing a digit.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 365385032901 + ... + 365385033531.
It is an arithmetic number, because the mean of its divisors is an integer number (241457920704).
Almost surely, 2230557955959296 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 230557955959296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463599207751680).
230557955959296 is an abundant number, since it is smaller than the sum of its proper divisors (696640459544064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230557955959296 is a wasteful number, since it uses less digits than its factorization.
230557955959296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 777 (or 749 counting only the distinct ones).
The product of its (nonzero) digits is 10333575000, while the sum is 81.
The spelling of 230557955959296 in words is "two hundred thirty trillion, five hundred fifty-seven billion, nine hundred fifty-five million, nine hundred fifty-nine thousand, two hundred ninety-six".
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