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1356483171456 = 27327919183041
BaseRepresentation
bin10011101111010100101…
…100101001010010000000
311210200022122101212011100
4103233110230221102000
5134211034142441311
62515054302014400
7200000626466550
oct23572454512200
94720278355140
101356483171456
11483310428986
1219aa8b577400
139abba07529a
1449922d3d160
1525442a44a56
hex13bd4b29480

1356483171456 has 192 divisors, whose sum is σ = 4465931932800. Its totient is φ = 387142778880.

The previous prime is 1356483171397. The next prime is 1356483171497. The reversal of 1356483171456 is 6541713846531.

1356483171456 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 483 + 17 + 145 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 7319296 + ... + 7502336.

It is an arithmetic number, because the mean of its divisors is an integer number (23260062150).

Almost surely, 21356483171456 is an apocalyptic number.

1356483171456 is a gapful number since it is divisible by the number (16) 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 1356483171456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232965966400).

1356483171456 is an abundant number, since it is smaller than the sum of its proper divisors (3109448761344).

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

1356483171456 is a wasteful number, since it uses less digits than its factorization.

1356483171456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183987 (or 183972 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 1356483171456 in words is "one trillion, three hundred fifty-six billion, four hundred eighty-three million, one hundred seventy-one thousand, four hundred fifty-six".