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37674003380 = 225134711327283
BaseRepresentation
bin100011000101100010…
…111010101110110100
310121020120021122222112
4203011202322232310
51104124021102010
625150204350152
72502411513356
oct430542725664
9117216248875
1037674003380
1114a82aa1392
127374b45358
1337252076c0
141b756d30d6
15ea76cca05
hex8c58babb4

37674003380 has 96 divisors (see below), whose sum is σ = 87787252224. Its totient is φ = 13493458944.

The previous prime is 37674003373. The next prime is 37674003383. The reversal of 37674003380 is 8330047673.

37674003380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37674003383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1367219 + ... + 1394501.

It is an arithmetic number, because the mean of its divisors is an integer number (914450544).

Almost surely, 237674003380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37674003380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43893626112).

37674003380 is an abundant number, since it is smaller than the sum of its proper divisors (50113248844).

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

37674003380 is a wasteful number, since it uses less digits than its factorization.

37674003380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27465 (or 27463 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

The spelling of 37674003380 in words is "thirty-seven billion, six hundred seventy-four million, three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 113 130 188 226 235 260 452 470 565 611 940 1130 1222 1469 2260 2444 2938 3055 5311 5876 6110 7345 10622 12220 14690 21244 26555 27283 29380 53110 54566 69043 106220 109132 136415 138086 272830 276172 345215 354679 545660 690430 709358 1282301 1380860 1418716 1773395 2564602 3082979 3546790 5129204 6165958 6411505 7093580 12331916 12823010 15414895 16669913 25646020 30829790 33339826 40078727 61659580 66679652 80157454 83349565 144900013 160314908 166699130 200393635 289800026 333398260 400787270 579600052 724500065 801574540 1449000130 1883700169 2898000260 3767400338 7534800676 9418500845 18837001690 37674003380