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12243620487480 = 2335173645191423
BaseRepresentation
bin1011001000101011000010…
…1001100110000100111000
31121100110220222000010221020
42302022300221212010320
53101044413321044410
642012350330342440
72402400221001264
oct262126051460470
947313828003836
1012243620487480
1139a0543635958
121458a8b88aa20
136aa750b956a5
143048470310a4
15163740b38a70
hexb22b0a66138

12243620487480 has 128 divisors (see below), whose sum is σ = 36949309470720. Its totient is φ = 3245554137600.

The previous prime is 12243620487407. The next prime is 12243620487487. The reversal of 12243620487480 is 8478402634221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12243620487487) 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, 133877049 + ... + 133968471.

It is an arithmetic number, because the mean of its divisors is an integer number (288666480240).

Almost surely, 212243620487480 is an apocalyptic number.

12243620487480 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 12243620487480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18474654735360).

12243620487480 is an abundant number, since it is smaller than the sum of its proper divisors (24705688983240).

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

12243620487480 is a wasteful number, since it uses less digits than its factorization.

12243620487480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98061 (or 98057 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 12243620487480 in words is "twelve trillion, two hundred forty-three billion, six hundred twenty million, four hundred eighty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6451 6920 10380 12902 19353 20760 25804 32255 38706 51608 64510 77412 91423 96765 129020 154824 182846 193530 258040 274269 365692 387060 457115 548538 731384 774120 914230 1097076 1116023 1371345 1828460 2194152 2232046 2742690 3348069 3656920 4464092 5485380 5580115 6696138 8928184 10970760 11160230 13392276 15816179 16740345 22320460 26784552 31632358 33480690 44640920 47448537 63264716 66961380 79080895 94897074 126529432 133922760 158161790 189794148 237242685 316323580 379588296 474485370 589769773 632647160 948970740 1179539546 1769309319 1897941480 2359079092 2948848865 3538618638 4718158184 5897697730 7077237276 8846546595 11795395460 14154474552 17693093190 23590790920 35386186380 70772372760 102030170729 204060341458 306090512187 408120682916 510150853645 612181024374 816241365832 1020301707290 1224362048748 1530452560935 2040603414580 2448724097496 3060905121870 4081206829160 6121810243740 12243620487480