Base | Representation |
---|---|
bin | 11100101101101111110… |
… | …101110101100100100100 |
3 | 20222122100022210212212001 |
4 | 130231233311311210210 |
5 | 224312222142413100 |
6 | 4110301150335044 |
7 | 262364244265204 |
oct | 34555765654444 |
9 | 6878308725761 |
10 | 1973266372900 |
11 | 6a0948474099 |
12 | 27a522aba484 |
13 | 114102b09704 |
14 | 6b71418a404 |
15 | 364e1012d6a |
hex | 1cb6fd75924 |
1973266372900 has 27 divisors (see below), whose sum is σ = 4282018512051. Its totient is φ = 789300930240.
The previous prime is 1973266372897. The next prime is 1973266372901. The reversal of 1973266372900 is 92736623791.
The square root of 1973266372900 is 1404730.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 183685959396 + 1789580413504 = 428586^2 + 1337752^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1973266372901) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13977064 + ... + 14117536.
Almost surely, 21973266372900 is an apocalyptic number.
1973266372900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1973266372900 is the 1404730-th square number.
It is an amenable number.
1973266372900 is an abundant number, since it is smaller than the sum of its proper divisors (2308752139151).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1973266372900 is an frugal number, since it uses more digits than its factorization.
1973266372900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 280960 (or 140480 counting only the distinct ones).
The product of its (nonzero) digits is 5143824, while the sum is 55.
The spelling of 1973266372900 in words is "one trillion, nine hundred seventy-three billion, two hundred sixty-six million, three hundred seventy-two thousand, nine hundred".
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