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37141000208 = 24132231993001
BaseRepresentation
bin100010100101110001…
…101011000000010000
310112212102100022002022
4202211301223000100
51102031044001313
625021244311012
72453250202304
oct424561530020
9115772308068
1037141000208
111482a1431a4
127246542468
13366b968700
141b249c9d04
15e759e5c08
hex8a5c6b010

37141000208 has 120 divisors (see below), whose sum is σ = 81745660800. Its totient is φ = 16308864000.

The previous prime is 37141000181. The next prime is 37141000219. The reversal of 37141000208 is 80200014173.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12374708 + ... + 12377708.

It is an arithmetic number, because the mean of its divisors is an integer number (681213840).

Almost surely, 237141000208 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 37141000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40872830400).

37141000208 is an abundant number, since it is smaller than the sum of its proper divisors (44604660592).

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

37141000208 is a wasteful number, since it uses less digits than its factorization.

With its successor (37141000209) it forms an eRAP, since the sums of their prime factors are consecutive (3257 and 3258).

37141000208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 37141000208 in words is "thirty-seven billion, one hundred forty-one million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 169 184 199 208 299 338 368 398 598 676 796 1196 1352 1592 2392 2587 2704 3001 3184 3887 4577 4784 5174 6002 7774 9154 10348 12004 15548 18308 20696 24008 31096 33631 36616 39013 41392 48016 59501 62192 67262 69023 73232 78026 119002 134524 138046 156052 238004 269048 276092 312104 476008 507169 538096 552184 597199 624208 773513 897299 952016 1014338 1104368 1194398 1547026 1794598 2028676 2388796 3094052 3589196 4057352 4777592 6188104 7178392 7763587 8114704 9555184 11664887 12376208 13735577 14356784 15527174 23329774 27471154 31054348 46659548 54942308 62108696 93319096 100926631 109884616 124217392 178562501 186638192 201853262 219769232 357125002 403706524 714250004 807413048 1428500008 1614826096 2321312513 2857000016 4642625026 9285250052 18570500104 37141000208