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37445346064 = 247269112
BaseRepresentation
bin100010110111111010…
…101010001100010000
310120122122000200010001
4202313322222030100
51103142002033224
625111355415344
72463634122100
oct426772521420
9116578020101
1037445346064
1114975a157a5
127310454554
1336b9a28609
141b531b1200
15e925b2544
hex8b7eaa310

37445346064 has 45 divisors (see below), whose sum is σ = 84407527911. Its totient is φ = 16045683360.

The previous prime is 37445346061. The next prime is 37445346079. The reversal of 37445346064 is 46064354473.

The square root of 37445346064 is 193508.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (37445346061) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 5414769 + ... + 5421679.

Almost surely, 237445346064 is an apocalyptic number.

37445346064 is the 193508-th square number.

It is an amenable number.

37445346064 is an abundant number, since it is smaller than the sum of its proper divisors (46962181847).

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

37445346064 is an frugal number, since it uses more digits than its factorization.

37445346064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13844 (or 6920 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 46.

The spelling of 37445346064 in words is "thirty-seven billion, four hundred forty-five million, three hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 6911 13822 27644 48377 55288 96754 110576 193508 338639 387016 677278 774032 1354556 2709112 5418224 47761921 95523842 191047684 334333447 382095368 668666894 764190736 1337333788 2340334129 2674667576 4680668258 5349335152 9361336516 18722673032 37445346064