| Base | Representation |
|---|---|
| bin | 101101000110001011011001… |
| … | …110000101110001000000000 |
| 3 | 222000020210120101012212002000 |
| 4 | 231012023121300232020000 |
| 5 | 201444021431211104100 |
| 6 | 1541454333423224000 |
| 7 | 56530231106063610 |
| oct | 5506133160561000 |
| 9 | 860223511185060 |
| 10 | 198336653222400 |
| 11 | 58218114133300 |
| 12 | 1a2b2b7ba48000 |
| 13 | 86890b2428bb4 |
| 14 | 36d978c1aca40 |
| 15 | 17de2d1514900 |
| hex | b462d9c2e200 |
198336653222400 has 5760 divisors, whose sum is σ = 967900650393600. Its totient is φ = 38860259328000.
The previous prime is 198336653222347. The next prime is 198336653222431. The reversal of 198336653222400 is 4222356633891.
198336653222400 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 3 + 6 + 6 + 5 + 3 + 222 + 400 = 666.
It is a tau number, because it is divible by the number of its divisors (5760).
It is a super-2 number, since 2×1983366532224002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
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 575 ways as a sum of consecutive naturals, for example, 599204390235 + ... + 599204390565.
It is an arithmetic number, because the mean of its divisors is an integer number (168038307360).
Almost surely, 2198336653222400 is an apocalyptic number.
198336653222400 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 198336653222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483950325196800).
198336653222400 is an abundant number, since it is smaller than the sum of its proper divisors (769563997171200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198336653222400 is a wasteful number, since it uses less digits than its factorization.
198336653222400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 509 (or 471 counting only the distinct ones).
The product of its (nonzero) digits is 11197440, while the sum is 54.
The spelling of 198336653222400 in words is "one hundred ninety-eight trillion, three hundred thirty-six billion, six hundred fifty-three million, two hundred twenty-two thousand, four hundred".
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