| Base | Representation |
|---|---|
| bin | 111110000111000001110… |
| … | …001100111011111000000 |
| 3 | 120010000211221212122200100 |
| 4 | 332013001301213133000 |
| 5 | 1024412134301100100 |
| 6 | 13024432422522400 |
| 7 | 620235552305130 |
| oct | 76070161473700 |
| 9 | 16100757778610 |
| 10 | 4268153534400 |
| 11 | 13a6128443a08 |
| 12 | 58b243b96400 |
| 13 | 24c63cb53752 |
| 14 | 10a818b06ac0 |
| 15 | 760578a9400 |
| hex | 3e1c1c677c0 |
4268153534400 has 1008 divisors, whose sum is σ = 18140026963968. Its totient is φ = 930631680000.
The previous prime is 4268153534399. The next prime is 4268153534419. The reversal of 4268153534400 is 44353518624.
4268153534400 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 153 + 53 + 440 + 0 = 666.
4268153534400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Cunningham number, because it is equal to 20659512-1.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a super-2 number, since 2×42681535344002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
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, 929676105 + ... + 929680695.
It is an arithmetic number, because the mean of its divisors is an integer number (17996058496).
Almost surely, 24268153534400 is an apocalyptic number.
4268153534400 is a gapful number since it is divisible by the number (40) 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 4268153534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9070013481984).
4268153534400 is an abundant number, since it is smaller than the sum of its proper divisors (13871873429568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4268153534400 is a wasteful number, since it uses less digits than its factorization.
4268153534400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5050 (or 5032 counting only the distinct ones).
The product of its (nonzero) digits is 1382400, while the sum is 45.
The spelling of 4268153534400 in words is "four trillion, two hundred sixty-eight billion, one hundred fifty-three million, five hundred thirty-four thousand, four hundred".
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