| Base | Representation |
|---|---|
| bin | 101110000100110101010000… |
| … | …011100101010000000000000 |
| 3 | 222120111101221110020112100000 |
| 4 | 232010311100130222000000 |
| 5 | 203030042212112310140 |
| 6 | 1554552313045200000 |
| 7 | 60453262444124250 |
| oct | 5604652034520000 |
| 9 | 876441843215300 |
| 10 | 202642201681920 |
| 11 | 59628090a83a00 |
| 12 | 1a8894bb400000 |
| 13 | 890c101703070 |
| 14 | 3807d134bd960 |
| 15 | 18662c6d21a30 |
| hex | b84d5072a000 |
202642201681920 has 6048 divisors, whose sum is σ = 1008942329356416. Its totient is φ = 37964517212160.
The previous prime is 202642201681867. The next prime is 202642201681973. The reversal of 202642201681920 is 29186102246202.
202642201681920 is a `hidden beast` number, since 2 + 0 + 26 + 422 + 0 + 16 + 8 + 192 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (202642201681867) and next prime (202642201681973).
It is a tau number, because it is divible by the number of its divisors (6048).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4712609341419 + ... + 4712609341461.
It is an arithmetic number, because the mean of its divisors is an integer number (166822475092).
Almost surely, 2202642201681920 is an apocalyptic number.
202642201681920 is a gapful number since it is divisible by the number (20) 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 202642201681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504471164678208).
202642201681920 is an abundant number, since it is smaller than the sum of its proper divisors (806300127674496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202642201681920 is an equidigital number, since it uses as much as digits as its factorization.
202642201681920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 174 (or 84 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The spelling of 202642201681920 in words is "two hundred two trillion, six hundred forty-two billion, two hundred one million, six hundred eighty-one thousand, nine hundred twenty".
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