| Base | Representation |
|---|---|
| bin | 1011011101110110… |
| … | …01100011010100000 |
| 3 | 120220000120002211000 |
| 4 | 11232323030122200 |
| 5 | 100101412302100 |
| 6 | 2454503552000 |
| 7 | 305356644615 |
| oct | 55673143240 |
| 9 | 16800502730 |
| 10 | 6155978400 |
| 11 | 2679986760 |
| 12 | 123975b600 |
| 13 | 7714abb90 |
| 14 | 42581250c |
| 15 | 260698900 |
| hex | 16eecc6a0 |
6155978400 has 576 divisors, whose sum is σ = 26169575040. Its totient is φ = 1376870400.
The previous prime is 6155978371. The next prime is 6155978401. The reversal of 6155978400 is 48795516.
6155978400 is a `hidden beast` number, since 6 + 15 + 597 + 8 + 40 + 0 = 666.
It is a super-4 number, since 4×61559784004 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (6155978401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3087804 + ... + 3089796.
It is an arithmetic number, because the mean of its divisors is an integer number (45433290).
Almost surely, 26155978400 is an apocalyptic number.
6155978400 is a gapful number since it is divisible by the number (60) 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 6155978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13084787520).
6155978400 is an abundant number, since it is smaller than the sum of its proper divisors (20013596640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6155978400 is a wasteful number, since it uses less digits than its factorization.
6155978400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2046 (or 2027 counting only the distinct ones).
The product of its (nonzero) digits is 302400, while the sum is 45.
The square root of 6155978400 is about 78460.0433341711. The cubic root of 6155978400 is about 1832.7322797353.
The spelling of 6155978400 in words is "six billion, one hundred fifty-five million, nine hundred seventy-eight thousand, four hundred".
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