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39766806139476 = 223132457220319477
BaseRepresentation
bin10010000101010111011100…
…10110101001001001010100
312012210200002002112111110110
421002223232112221021110
520203014404332430401
6220324341334323020
711243025345661113
oct1102535626511124
9165720062474413
1039766806139476
111174200a390199
1245630a6ab9470
131925cbc2b4300
149b6a1bb21c7a
1548e65c5849d6
hex242aee5a9254

39766806139476 has 144 divisors (see below), whose sum is σ = 100746635325504. Its totient is φ = 12202997234688.

The previous prime is 39766806139451. The next prime is 39766806139477. The reversal of 39766806139476 is 67493160866793.

It is a junction number, because it is equal to n+sod(n) for n = 39766806139398 and 39766806139407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39766806139477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2041721850 + ... + 2041741326.

Almost surely, 239766806139476 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 39766806139476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50373317662752).

39766806139476 is an abundant number, since it is smaller than the sum of its proper divisors (60979829186028).

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

39766806139476 is a wasteful number, since it uses less digits than its factorization.

39766806139476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22170 (or 22155 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 75.

The spelling of 39766806139476 in words is "thirty-nine trillion, seven hundred sixty-six billion, eight hundred six million, one hundred thirty-nine thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 457 507 676 914 1014 1371 1828 2028 2203 2742 4406 5484 5941 6609 8812 11882 13218 17823 19477 23764 26436 28639 35646 38954 57278 58431 71292 77233 77908 85917 114556 116862 154466 171834 231699 233724 253201 308932 343668 372307 463398 506402 744614 759603 926796 1006771 1012804 1116921 1489228 1519206 2013542 2233842 3020313 3038412 3291613 4027084 4467684 6040626 6583226 8900989 9874839 12081252 13088023 13166452 17801978 19749678 26176046 26702967 35603956 39264069 39499356 42907831 52352092 53405934 78528138 85815662 106811868 115712857 128723493 157056276 170144299 171631324 231425714 257446986 340288598 347138571 462851428 510432897 514893972 557801803 680577196 694277142 1020865794 1115603606 1388554284 1504267141 1673405409 2041731588 2231207212 3008534282 3346810818 4512801423 6017068564 6693621636 7251423439 9025602846 14502846878 18051205692 19608878767 21754270317 29005693756 39217757534 43508540634 58826636301 78435515068 87017081268 117653272602 235306545204 254915423971 509830847942 764746271913 1019661695884 1529492543826 3058985087652 3313900511623 6627801023246 9941701534869 13255602046492 19883403069738 39766806139476