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37742034473 = 111319311094111
BaseRepresentation
bin100011001001100110…
…011011111000101001
310121102022022000002122
4203021212123320221
51104243430100343
625201034441025
72504165666633
oct431146337051
9117368260078
1037742034473
1115008438130
127393893175
133736336ca0
141b80761a53
15ead66a068
hex8c999be29

37742034473 has 64 divisors (see below), whose sum is σ = 48633446400. Its totient is φ = 28763424000.

The previous prime is 37742034469. The next prime is 37742034479. The reversal of 37742034473 is 37443024773.

It is a happy number.

37742034473 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 37742034473 - 22 = 37742034469 is a prime.

It is a super-2 number, since 2×377420344732 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37742034479) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9178688 + ... + 9182798.

It is an arithmetic number, because the mean of its divisors is an integer number (759897600).

Almost surely, 237742034473 is an apocalyptic number.

It is an amenable number.

37742034473 is a deficient number, since it is larger than the sum of its proper divisors (10891411927).

37742034473 is a wasteful number, since it uses less digits than its factorization.

37742034473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294.

The product of its (nonzero) digits is 1185408, while the sum is 44.

The spelling of 37742034473 in words is "thirty-seven billion, seven hundred forty-two million, thirty-four thousand, four hundred seventy-three".

Divisors: 1 11 13 19 31 109 143 209 247 341 403 589 1199 1417 2071 2717 3379 4111 4433 6479 7657 15587 22781 26923 37169 43927 45221 53443 64201 78109 84227 127441 296153 448099 483197 587873 706211 834613 859199 1015417 1401851 1656733 2421379 4929089 5825287 8513881 9180743 11169587 13891069 18224063 26635169 31477927 64078157 93652691 110680453 152801759 180583897 263930311 346257197 1217484983 1986422867 2903233421 3431094043 37742034473