| Base | Representation |
|---|---|
| bin | 101101000111001100001110… |
| … | …001001101011001011110000 |
| 3 | 222000111110012210221121022000 |
| 4 | 231013030032021223023300 |
| 5 | 202001142000410442140 |
| 6 | 1541550323531214000 |
| 7 | 56535243606025530 |
| oct | 5507141611531360 |
| 9 | 860443183847260 |
| 10 | 198406251655920 |
| 11 | 5824468968a550 |
| 12 | 1a3045642a7300 |
| 13 | 8692824603c39 |
| 14 | 36dccb17334c0 |
| 15 | 17e1006752a30 |
| hex | b4730e26b2f0 |
198406251655920 has 5120 divisors, whose sum is σ = 990162911232000. Its totient is φ = 35215500902400.
The previous prime is 198406251655883. The next prime is 198406251655933. The reversal of 198406251655920 is 29556152604891.
198406251655920 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 0 + 6 + 2 + 51 + 6 + 559 + 20 = 666.
198406251655920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 181524474894 + ... + 181524475986.
It is an arithmetic number, because the mean of its divisors is an integer number (193391193600).
Almost surely, 2198406251655920 is an apocalyptic number.
198406251655920 is a gapful number since it is divisible by the number (10) 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 198406251655920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495081455616000).
198406251655920 is an abundant number, since it is smaller than the sum of its proper divisors (791756659576080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198406251655920 is a wasteful number, since it uses less digits than its factorization.
198406251655920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1309 (or 1297 counting only the distinct ones).
The product of its (nonzero) digits is 46656000, while the sum is 63.
The spelling of 198406251655920 in words is "one hundred ninety-eight trillion, four hundred six billion, two hundred fifty-one million, six hundred fifty-five thousand, nine hundred twenty".
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