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13480491195248 = 2471119947608123
BaseRepresentation
bin1100010000101010101111…
…1000111001101101110000
31202201201111121110021110212
43010022223320321231300
53231331021221221443
644400504022243252
72560635065360210
oct304125370715560
952651447407425
1013480491195248
114328053931460
121618739286528
1376a28811cb2c
143486602a6240
151859d2728618
hexc42abe39b70

13480491195248 has 160 divisors (see below), whose sum is σ = 34313372375040. Its totient is φ = 4970448679680.

The previous prime is 13480491195209. The next prime is 13480491195263. The reversal of 13480491195248 is 84259119408431.

It is a happy number.

13480491195248 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21863315 + ... + 22471437.

It is an arithmetic number, because the mean of its divisors is an integer number (214458577344).

Almost surely, 213480491195248 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 13480491195248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156686187520).

13480491195248 is an abundant number, since it is smaller than the sum of its proper divisors (20832881179792).

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

13480491195248 is a wasteful number, since it uses less digits than its factorization.

13480491195248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609115 (or 609109 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 59.

The spelling of 13480491195248 in words is "thirteen trillion, four hundred eighty billion, four hundred ninety-one million, one hundred ninety-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 947 1064 1232 1463 1672 1894 2128 2926 3344 3788 5852 6629 7576 10417 11704 13258 15152 17993 20834 23408 26516 35986 41668 53032 71972 72919 83336 106064 125951 143944 145838 166672 197923 251902 287888 291676 395846 503804 583352 608123 791692 1007608 1166704 1216246 1385461 1583384 2015216 2432492 2770922 3166768 4256861 4864984 5541844 6689353 8513722 9729968 11083688 11554337 13378706 17027444 22167376 23108674 26757412 34054888 46217348 46825471 53514824 68109776 80880359 92434696 93650942 107029648 127097707 161760718 184869392 187301884 254195414 323521436 374603768 508390828 575892481 647042872 749207536 889683949 1016781656 1151784962 1294085744 1779367898 2033563312 2303569924 3558735796 4031247367 4607139848 6334817291 7117471592 8062494734 9214279696 10941957139 12669634582 14234943184 16124989468 21883914278 25339269164 32249978936 43767828556 44343721037 50678538328 64499957872 76593699973 87535657112 88687442074 101357076656 120361528529 153187399946 175071314224 177374884148 240723057058 306374799892 354749768296 481446114116 612749599784 709499536592 842530699703 962892228232 1225499199568 1685061399406 1925784456464 3370122798812 6740245597624 13480491195248