| Base | Representation |
|---|---|
| bin | 11000100111100110101101… |
| … | …00010011100100111001100 |
| 3 | 21002200111000012101100212001 |
| 4 | 30103303112202130213030 |
| 5 | 24043441311442344400 |
| 6 | 311050210234122044 |
| 7 | 14255203266106120 |
| oct | 1423632642344714 |
| 9 | 232614005340761 |
| 10 | 54137367153100 |
| 11 | 1628258a443a70 |
| 12 | 60a4226880324 |
| 13 | 24291937a9a0a |
| 14 | d52396623580 |
| 15 | 63d38561da6a |
| hex | 313cd689c9cc |
54137367153100 has 576 divisors, whose sum is σ = 155668706565120. Its totient is φ = 15848017920000.
The previous prime is 54137367153097. The next prime is 54137367153101. The reversal of 54137367153100 is 135176373145.
It is a happy number.
54137367153100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×541373671531002 (a number of 28 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (54137367153101) by changing a digit.
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 191 ways as a sum of consecutive naturals, for example, 3176880580 + ... + 3176897620.
It is an arithmetic number, because the mean of its divisors is an integer number (270258171120).
Almost surely, 254137367153100 is an apocalyptic number.
54137367153100 is a gapful number since it is divisible by the number (50) 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 54137367153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77834353282560).
54137367153100 is an abundant number, since it is smaller than the sum of its proper divisors (101531339412020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54137367153100 is a wasteful number, since it uses less digits than its factorization.
54137367153100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17490 (or 17483 counting only the distinct ones).
The product of its (nonzero) digits is 793800, while the sum is 46.
The spelling of 54137367153100 in words is "fifty-four trillion, one hundred thirty-seven billion, three hundred sixty-seven million, one hundred fifty-three thousand, one hundred".
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