Base | Representation |
---|---|
bin | 11101001110011010100… |
… | …01101111000010100100 |
3 | 10112222221102120101102120 |
4 | 32213031101233002210 |
5 | 112423020331431442 |
6 | 2045150541105540 |
7 | 132356205466500 |
oct | 16471521570244 |
9 | 3488842511376 |
10 | 1004171358372 |
11 | 35795960a206 |
12 | 142746b582b0 |
13 | 73901556930 |
14 | 36860445300 |
15 | 1b1c2a894ec |
hex | e9cd46f0a4 |
1004171358372 has 144 divisors (see below), whose sum is σ = 2950024694400. Its totient is φ = 263505166848.
The previous prime is 1004171358349. The next prime is 1004171358373. The reversal of 1004171358372 is 2738531714001.
1004171358372 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is not an unprimeable number, because it can be changed into a prime (1004171358373) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1191088 + ... + 1851224.
It is an arithmetic number, because the mean of its divisors is an integer number (20486282600).
Almost surely, 21004171358372 is an apocalyptic number.
1004171358372 is a gapful number since it is divisible by the number (12) 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 1004171358372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475012347200).
1004171358372 is an abundant number, since it is smaller than the sum of its proper divisors (1945853336028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004171358372 is a wasteful number, since it uses less digits than its factorization.
1004171358372 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 660370 (or 660361 counting only the distinct ones).
The product of its (nonzero) digits is 141120, while the sum is 42.
The spelling of 1004171358372 in words is "one trillion, four billion, one hundred seventy-one million, three hundred fifty-eight thousand, three hundred seventy-two".
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