| Base | Representation |
|---|---|
| bin | 101101001110001100110110… |
| … | …111100010011110000000000 |
| 3 | 222002012111121202102121210000 |
| 4 | 231032030312330103300000 |
| 5 | 202032040031410330242 |
| 6 | 1542555512333440000 |
| 7 | 56615116235304000 |
| oct | 5516146674236000 |
| 9 | 862174552377700 |
| 10 | 198887972355072 |
| 11 | 5840aa08439740 |
| 12 | 1a3819a3640000 |
| 13 | 86c90946c0060 |
| 14 | 371832cdc4000 |
| 15 | 17ed7ec70ba4c |
| hex | b4e336f13c00 |
198887972355072 has 7040 divisors, whose sum is σ = 894811889664000. Its totient is φ = 43191661363200.
The previous prime is 198887972355047. The next prime is 198887972355157. The reversal of 198887972355072 is 270553279788891.
198887972355072 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 8 + 7 + 9 + 72 + 35 + 507 + 2 = 666.
It is a super-2 number, since 2×1988879723550722 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (81).
It is a junction number, because it is equal to n+sod(n) for n = 198887972354982 and 198887972355000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2396240630743 + ... + 2396240630825.
It is an arithmetic number, because the mean of its divisors is an integer number (127103961600).
Almost surely, 2198887972355072 is an apocalyptic number.
198887972355072 is a gapful number since it is divisible by the number (12) 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 198887972355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447405944832000).
198887972355072 is an abundant number, since it is smaller than the sum of its proper divisors (695923917308928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198887972355072 is a wasteful number, since it uses less digits than its factorization.
198887972355072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 210 (or 169 counting only the distinct ones).
The product of its (nonzero) digits is 4267468800, while the sum is 81.
The spelling of 198887972355072 in words is "one hundred ninety-eight trillion, eight hundred eighty-seven billion, nine hundred seventy-two million, three hundred fifty-five thousand, seventy-two".
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