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13417327454380 = 22517371318141681
BaseRepresentation
bin1100001100111111011100…
…0010010110100010101100
31202111200110121201210010221
43003033313002112202230
53224312141312020010
644311500220141124
72553240611420203
oct303176702264254
952450417653127
1013417327454380
114303290617023
12160844b9977a4
137643300ab035
1434558b58623a
1518403738adda
hexc33f70968ac

13417327454380 has 96 divisors (see below), whose sum is σ = 30874039745472. Its totient is φ = 4877191987200.

The previous prime is 13417327454351. The next prime is 13417327454389. The reversal of 13417327454380 is 8345472371431.

13417327454380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13417327454389) 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, 2422861 + ... + 5718820.

It is an arithmetic number, because the mean of its divisors is an integer number (321604580682).

Almost surely, 213417327454380 is an apocalyptic number.

13417327454380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13417327454380 is an abundant number, since it is smaller than the sum of its proper divisors (17456712291092).

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

13417327454380 is a wasteful number, since it uses less digits than its factorization.

13417327454380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8141875 (or 8141873 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 13417327454380 in words is "thirteen trillion, four hundred seventeen billion, three hundred twenty-seven million, four hundred fifty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 131 148 170 185 262 340 370 524 629 655 740 1258 1310 2227 2516 2620 3145 4454 4847 6290 8908 9694 11135 12580 19388 22270 24235 44540 48470 82399 96940 164798 329596 411995 823990 1647980 8141681 16283362 32566724 40708405 81416810 138408577 162833620 276817154 301242197 553634308 602484394 692042885 1066560211 1204968788 1384085770 1506210985 2133120422 2768171540 3012421970 4266240844 5121117349 5332801055 6024843940 10242234698 10665602110 18131523587 20484469396 21331204220 25605586745 36263047174 39462727807 51211173490 72526094348 78925455614 90657617935 102422346980 157850911228 181315235870 197313639035 362630471740 394627278070 670866372719 789254556140 1341732745438 2683465490876 3354331863595 6708663727190 13417327454380