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1386248693472 = 253227118239743
BaseRepresentation
bin10100001011000010110…
…111000110011011100000
311220112011001111001012200
4110023002313012123200
5140203014131142342
62540500040253200
7202103351322246
oct24130267063340
94815131431180
101386248693472
114949a5280155
121a47b7a71200
13a09519a0ac6
144b14818c796
15260d5ca394c
hex142c2dc66e0

1386248693472 has 144 divisors (see below), whose sum is σ = 3959268139008. Its totient is φ = 460078030080.

The previous prime is 1386248693443. The next prime is 1386248693497. The reversal of 1386248693472 is 2743968426831.

1386248693472 is a `hidden beast` number, since 1 + 3 + 8 + 62 + 48 + 69 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142276633 + ... + 142286375.

It is an arithmetic number, because the mean of its divisors is an integer number (27494917632).

Almost surely, 21386248693472 is an apocalyptic number.

1386248693472 is a gapful number since it is divisible by the number (12) 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 1386248693472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979634069504).

1386248693472 is an abundant number, since it is smaller than the sum of its proper divisors (2573019445536).

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

1386248693472 is a wasteful number, since it uses less digits than its factorization.

1386248693472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11853 (or 11842 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 1386248693472 in words is "one trillion, three hundred eighty-six billion, two hundred forty-eight million, six hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 271 288 542 813 1084 1626 1823 2168 2439 3252 3646 4336 4878 5469 6504 7292 8672 9743 9756 10938 13008 14584 16407 19486 19512 21876 26016 29168 29229 32814 38972 39024 43752 58336 58458 65628 77944 78048 87504 87687 116916 131256 155888 175008 175374 233832 262512 311776 350748 467664 494033 525024 701496 935328 988066 1402992 1482099 1976132 2640353 2805984 2964198 3952264 4446297 5280706 5928396 7904528 7921059 8892594 10561412 11856792 15809056 15842118 17761489 17785188 21122824 23713584 23763177 31684236 35522978 35570376 42245648 47427168 47526354 53284467 63368472 71045956 71140752 84491296 95052708 106568934 126736944 142091912 142281504 159853401 190105416 213137868 253473888 284183824 319706802 380210832 426275736 568367648 639413604 760421664 852551472 1278827208 1705102944 2557654416 4813363519 5115308832 9626727038 14440090557 19253454076 28880181114 38506908152 43320271671 57760362228 77013816304 86640543342 115520724456 154027632608 173281086684 231041448912 346562173368 462082897824 693124346736 1386248693472