| Base | Representation |
|---|---|
| bin | 111110011000001000… |
| … | …0100000100000000000 |
| 3 | 110210202110100221122000 |
| 4 | 1330300100200200000 |
| 5 | 4143314111314333 |
| 6 | 141312030544000 |
| 7 | 12451331661120 |
| oct | 1746020404000 |
| 9 | 423673327560 |
| 10 | 133953619968 |
| 11 | 5189a365353 |
| 12 | 21b64968000 |
| 13 | c82a00772c |
| 14 | 66aa5c8c80 |
| 15 | 373eec6713 |
| hex | 1f30420800 |
133953619968 has 384 divisors, whose sum is σ = 480188217600. Its totient is φ = 36019372032.
The previous prime is 133953619967. The next prime is 133953619973. The reversal of 133953619968 is 869916359331.
133953619968 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 5 + 3 + 619 + 9 + 6 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (133953619967) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6570046 + ... + 6590402.
It is an arithmetic number, because the mean of its divisors is an integer number (1250490150).
Almost surely, 2133953619968 is an apocalyptic number.
133953619968 is a gapful number since it is divisible by the number (18) 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 133953619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240094108800).
133953619968 is an abundant number, since it is smaller than the sum of its proper divisors (346234597632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133953619968 is a wasteful number, since it uses less digits than its factorization.
133953619968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20412 (or 20386 counting only the distinct ones).
The product of its digits is 28343520, while the sum is 63.
It can be divided in two parts, 13395 and 3619968, that added together give a palindrome (3633363).
The spelling of 133953619968 in words is "one hundred thirty-three billion, nine hundred fifty-three million, six hundred nineteen thousand, nine hundred sixty-eight".
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