Base | Representation |
---|---|
bin | 100011010110101011… |
… | …010010111100100110 |
3 | 10121222121002120000200 |
4 | 203112223102330212 |
5 | 1110221110144030 |
6 | 25234512451330 |
7 | 2512501452456 |
oct | 432653227446 |
9 | 117877076020 |
10 | 37961412390 |
11 | 15110255aa0 |
12 | 7435249b46 |
13 | 376c9174c5 |
14 | 1ba1949d66 |
15 | ec2a50d60 |
hex | 8d6ad2f26 |
37961412390 has 144 divisors (see below), whose sum is σ = 111260502288. Its totient is φ = 8905680000.
The previous prime is 37961412383. The next prime is 37961412443. The reversal of 37961412390 is 9321416973.
37961412390 is a `hidden beast` number, since 3 + 7 + 9 + 614 + 1 + 23 + 9 + 0 = 666.
It is a Smith number, since the sum of its digits (45) 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 (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 931440 + ... + 971340.
It is an arithmetic number, because the mean of its divisors is an integer number (772642377).
Almost surely, 237961412390 is an apocalyptic number.
37961412390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 37961412390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55630251144).
37961412390 is an abundant number, since it is smaller than the sum of its proper divisors (73299089898).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37961412390 is a wasteful number, since it uses less digits than its factorization.
37961412390 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39987 (or 39953 counting only the distinct ones).
The product of its (nonzero) digits is 244944, while the sum is 45.
The spelling of 37961412390 in words is "thirty-seven billion, nine hundred sixty-one million, four hundred twelve thousand, three hundred ninety".
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