Base | Representation |
---|---|
bin | 100010110001110000… |
… | …100101010110000000 |
3 | 10120101102122020212001 |
4 | 202301300211112000 |
5 | 1102434030311342 |
6 | 25053225313344 |
7 | 2461241054401 |
oct | 426160452600 |
9 | 116342566761 |
10 | 37342041472 |
11 | 149226774aa |
12 | 72a1935854 |
13 | 36a14c8938 |
14 | 1b4359d9a8 |
15 | e884a88b7 |
hex | 8b1c25580 |
37342041472 has 64 divisors (see below), whose sum is σ = 75558744000. Its totient is φ = 18380529664.
The previous prime is 37342041469. The next prime is 37342041497. The reversal of 37342041472 is 27414024373.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×373420414722 (a number of 22 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2146473 + ... + 2163799.
It is an arithmetic number, because the mean of its divisors is an integer number (1180605375).
Almost surely, 237342041472 is an apocalyptic number.
37342041472 is a gapful number since it is divisible by the number (32) 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 37342041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37779372000).
37342041472 is an abundant number, since it is smaller than the sum of its proper divisors (38216702528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37342041472 is a wasteful number, since it uses less digits than its factorization.
37342041472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17603 (or 17591 counting only the distinct ones).
The product of its (nonzero) digits is 112896, while the sum is 37.
The spelling of 37342041472 in words is "thirty-seven billion, three hundred forty-two million, forty-one thousand, four hundred seventy-two".
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