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1367480344896 = 263217139652813
BaseRepresentation
bin10011111001100100001…
…011100010000101000000
311211201201001112011002100
4103321210023202011000
5134401044432014041
62524113425350400
7200540303100651
oct23714413420500
94751631464070
101367480344896
11487a44006076
121a103a498400
139bc505201c3
144a2876b5528
15258882266b6
hex13e642e2140

1367480344896 has 84 divisors (see below), whose sum is σ = 4150202326452. Its totient is φ = 429013438464.

The previous prime is 1367480344823. The next prime is 1367480344907. The reversal of 1367480344896 is 6984430847631.

It is a happy number.

1367480344896 is a `hidden beast` number, since 1 + 3 + 6 + 74 + 80 + 3 + 4 + 489 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 997329784896 + 370150560000 = 998664^2 + 608400^2 .

It is a super-2 number, since 2×13674803448962 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69816615 + ... + 69836198.

It is an arithmetic number, because the mean of its divisors is an integer number (49407170553).

Almost surely, 21367480344896 is an apocalyptic number.

1367480344896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1367480344896 is an abundant number, since it is smaller than the sum of its proper divisors (2782721981556).

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

1367480344896 is a wasteful number, since it uses less digits than its factorization.

1367480344896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139652848 (or 139652835 counting only the distinct ones).

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

The spelling of 1367480344896 in words is "one trillion, three hundred sixty-seven billion, four hundred eighty million, three hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 139652813 279305626 418958439 558611252 837916878 1117222504 1256875317 1675833756 2234445008 2374097821 2513750634 3351667512 4468890016 4748195642 5027501268 6703335024 7122293463 8937780032 9496391284 10055002536 13406670048 14244586926 18992782568 20110005072 21366880389 26813340096 28489173852 37985565136 40220010144 42733760778 56978347704 75971130272 80440020288 85467521556 113956695408 151942260544 170935043112 227913390816 341870086224 455826781632 683740172448 1367480344896