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37066800340 = 22517233467897
BaseRepresentation
bin100010100001010110…
…100111110011010100
310112200020201120000001
4202201112213303110
51101403100102330
625010034101044
72451356414203
oct424126476324
9115606646001
1037066800340
11147a1273799
12722571a784
13365948936b
141b18bd323a
15e6e23a9ca
hex8a15a7cd4

37066800340 has 48 divisors (see below), whose sum is σ = 82773027792. Its totient is φ = 13894639616.

The previous prime is 37066800317. The next prime is 37066800371. The reversal of 37066800340 is 4300866073.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 93663684 + 36973136656 = 9678^2 + 192284^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 37066800340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154729 + ... + 313168.

It is an arithmetic number, because the mean of its divisors is an integer number (1724438079).

Almost surely, 237066800340 is an apocalyptic number.

It is an amenable number.

37066800340 is an abundant number, since it is smaller than the sum of its proper divisors (45706227452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37066800340 is a wasteful number, since it uses less digits than its factorization.

37066800340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468156 (or 468154 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 37066800340 in words is "thirty-seven billion, sixty-six million, eight hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 233 340 466 932 1165 2330 3961 4660 7922 15844 19805 39610 79220 467897 935794 1871588 2339485 4678970 7954249 9357940 15908498 31816996 39771245 79542490 109020001 159084980 218040002 436080004 545100005 1090200010 1853340017 2180400020 3706680034 7413360068 9266700085 18533400170 37066800340