Base | Representation |
---|---|
bin | 1000101010110100100… |
… | …1000101001000000000 |
3 | 112020102110002012220121 |
4 | 2022231021011020000 |
5 | 4420004013223340 |
6 | 152230314350024 |
7 | 13521500534542 |
oct | 2125511051000 |
9 | 466373065817 |
10 | 148933726720 |
11 | 5818722a269 |
12 | 24a4572b314 |
13 | 110766a9b1c |
14 | 72cbd11692 |
15 | 3d1a1ab94a |
hex | 22ad245200 |
148933726720 has 160 divisors (see below), whose sum is σ = 374319792000. Its totient is φ = 56767119360.
The previous prime is 148933726717. The next prime is 148933726723. The reversal of 148933726720 is 27627339841.
148933726720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (148933726717) and next prime (148933726723).
It is a tau number, because it is divible by the number of its divisors (160).
It is not an unprimeable number, because it can be changed into a prime (148933726723) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4496781 + ... + 4529779.
It is an arithmetic number, because the mean of its divisors is an integer number (2339498700).
Almost surely, 2148933726720 is an apocalyptic number.
148933726720 is a gapful number since it is divisible by the number (10) 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 148933726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187159896000).
148933726720 is an abundant number, since it is smaller than the sum of its proper divisors (225386065280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148933726720 is an equidigital number, since it uses as much as digits as its factorization.
148933726720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 33106 (or 33090 counting only the distinct ones).
The product of its (nonzero) digits is 3048192, while the sum is 52.
The spelling of 148933726720 in words is "one hundred forty-eight billion, nine hundred thirty-three million, seven hundred twenty-six thousand, seven hundred twenty".
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