Search a number
-
+
5451190926104 = 23711312293124493
BaseRepresentation
bin100111101010011010001…
…0011000111101100011000
3201022010110212102222112002
41033110310103013230120
51203303014334113404
615332124215540132
71101556410232520
oct117246423075430
921263425388462
105451190926104
111811923190360
1274058898a648
1330707810a611
1414bba64c6680
1596be8306c1e
hex4f5344c7b18

5451190926104 has 128 divisors (see below), whose sum is σ = 13159951994880. Its totient is φ = 2054416780800.

The previous prime is 5451190926101. The next prime is 5451190926113. The reversal of 5451190926104 is 4016290911545.

It is a super-3 number, since 3×54511909261043 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5451190926101) 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, 43724882 + ... + 43849374.

It is an arithmetic number, because the mean of its divisors is an integer number (102812124960).

Almost surely, 25451190926104 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 5451190926104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579975997440).

5451190926104 is an abundant number, since it is smaller than the sum of its proper divisors (7708761068776).

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

5451190926104 is a wasteful number, since it uses less digits than its factorization.

5451190926104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126841 (or 126837 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The spelling of 5451190926104 in words is "five trillion, four hundred fifty-one billion, one hundred ninety million, nine hundred twenty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1736 2293 2387 2728 4586 4774 9172 9548 16051 18344 19096 25223 32102 50446 64204 71083 100892 124493 128408 142166 176561 201784 248986 284332 353122 497581 497972 568664 706244 781913 871451 995162 995944 1369423 1412488 1563826 1742902 1990324 2738846 3127652 3485804 3859283 3980648 5473391 5477692 6255304 6971608 7718566 9585961 10946782 10955384 15437132 19171922 21893564 27014981 30874264 38343844 42452113 43787128 54029962 76687688 84904226 108059924 169808452 216119848 285462449 297164791 339616904 570924898 594329582 1141849796 1188659164 1998237143 2283699592 2377318328 3140086939 3996474286 6280173878 7992948572 8849335919 12560347756 15985897144 17698671838 21980608573 25120695512 35397343676 43961217146 61945351433 70794687352 87922434292 97342695109 123890702866 175844868584 194685390218 247781405732 389370780436 495562811464 681398865763 778741560872 1362797731526 2725595463052 5451190926104