| Base | Representation |
|---|---|
| bin | 110101011101111110100011… |
| … | …011000110001000000000000 |
| 3 | 1010211121202000111112012200200 |
| 4 | 311131332203120301000000 |
| 5 | 221310301000333223124 |
| 6 | 2152045222553045200 |
| 7 | 100350332115313500 |
| oct | 6535764330610000 |
| 9 | 1124552014465620 |
| 10 | 235156495601664 |
| 11 | 68a2334528274a |
| 12 | 2245aaa26b6800 |
| 13 | a12a2159b2700 |
| 14 | 420d8c6a85a00 |
| 15 | 1c2be6054bbc9 |
| hex | d5dfa3631000 |
235156495601664 has 2808 divisors, whose sum is σ = 916240813204392. Its totient is φ = 57710267596800.
The previous prime is 235156495601663. The next prime is 235156495601719. The reversal of 235156495601664 is 466106594651532.
235156495601664 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 5 + 6 + 4 + 9 + 560 + 1 + 6 + 64 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 79161591398400 + 155994904203264 = 8897280^2 + 12489792^2 .
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (235156495601663) by changing a digit.
It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 586425175864 + ... + 586425176264.
It is an arithmetic number, because the mean of its divisors is an integer number (326296585899).
Almost surely, 2235156495601664 is an apocalyptic number.
235156495601664 is a gapful number since it is divisible by the number (24) 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 235156495601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458120406602196).
235156495601664 is an abundant number, since it is smaller than the sum of its proper divisors (681084317602728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235156495601664 is a wasteful number, since it uses less digits than its factorization.
235156495601664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 601 (or 556 counting only the distinct ones).
The product of its (nonzero) digits is 139968000, while the sum is 63.
The spelling of 235156495601664 in words is "two hundred thirty-five trillion, one hundred fifty-six billion, four hundred ninety-five million, six hundred one thousand, six hundred sixty-four".
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