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13466010320 = 2457110921683
BaseRepresentation
bin11001000101010001…
…10000001011010000
31021202110200012102222
430202220300023100
5210034244312240
610104115200212
7654462125210
oct144250601320
937673605388
1013466010320
115790236954
1227398a6068
131367ab5b59
1491a5d4240
1553c303eb5
hex322a302d0

13466010320 has 80 divisors (see below), whose sum is σ = 35815029120. Its totient is φ = 4612541952.

The previous prime is 13466010289. The next prime is 13466010347. The reversal of 13466010320 is 2301066431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 13466010320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610199 + ... + 631881.

It is an arithmetic number, because the mean of its divisors is an integer number (447687864).

Almost surely, 213466010320 is an apocalyptic number.

13466010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13466010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907514560).

13466010320 is an abundant number, since it is smaller than the sum of its proper divisors (22349018800).

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

13466010320 is a wasteful number, since it uses less digits than its factorization.

13466010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22812 (or 22806 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13466010320 its reverse (2301066431), we get a palindrome (15767076751).

The spelling of 13466010320 in words is "thirteen billion, four hundred sixty-six million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1109 2218 4436 5545 7763 8872 11090 15526 17744 21683 22180 31052 38815 43366 44360 62104 77630 86732 88720 108415 124208 151781 155260 173464 216830 303562 310520 346928 433660 607124 621040 758905 867320 1214248 1517810 1734640 2428496 3035620 6071240 12142480 24046447 48092894 96185788 120232235 168325129 192371576 240464470 336650258 384743152 480928940 673300516 841625645 961857880 1346601032 1683251290 1923715760 2693202064 3366502580 6733005160 13466010320