| Base | Representation |
|---|---|
| bin | 11101100000011000… |
| … | …111101101011000000 |
| 3 | 10000202222010200200000 |
| 4 | 131200120331223000 |
| 5 | 1004341033142442 |
| 6 | 22315433400000 |
| 7 | 2201051641440 |
| oct | 354030755300 |
| 9 | 100688120600 |
| 10 | 31681927872 |
| 11 | 12488693371 |
| 12 | 6182269000 |
| 13 | 2cab9848aa |
| 14 | 1767988120 |
| 15 | c5660cd4c |
| hex | 76063dac0 |
31681927872 has 1008 divisors, whose sum is σ = 122618845440. Its totient is φ = 7918829568.
The previous prime is 31681927847. The next prime is 31681927897. The reversal of 31681927872 is 27872918613.
It is a happy number.
31681927872 is a `hidden beast` number, since 316 + 8 + 192 + 78 + 72 = 666.
It is an interprime number because it is at equal distance from previous prime (31681927847) and next prime (31681927897).
It is a tau number, because it is divible by the number of its divisors (1008).
It is a super-2 number, since 2×316819278722 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 597772198 + ... + 597772250.
It is an arithmetic number, because the mean of its divisors is an integer number (121645680).
Almost surely, 231681927872 is an apocalyptic number.
31681927872 is a gapful number since it is divisible by the number (32) 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 31681927872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61309422720).
31681927872 is an abundant number, since it is smaller than the sum of its proper divisors (90936917568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31681927872 is a wasteful number, since it uses less digits than its factorization.
31681927872 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 140 (or 101 counting only the distinct ones).
The product of its digits is 2032128, while the sum is 54.
The spelling of 31681927872 in words is "thirty-one billion, six hundred eighty-one million, nine hundred twenty-seven thousand, eight hundred seventy-two".
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