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1356354103104 = 263571113151577
BaseRepresentation
bin10011101111001101000…
…000010010011101000000
311210122222122112111200000
4103233031000102131000
5134210303122244404
62515033411400000
7166664501436150
oct23571500223500
94718878474600
101356354103104
11483254592a20
1219aa542b3000
139ab993c4890
144990db42760
152543654c339
hex13bcd012740

1356354103104 has 1344 divisors, whose sum is σ = 5458531233792. Its totient is φ = 322486272000.

The previous prime is 1356354103061. The next prime is 1356354103151. The reversal of 1356354103104 is 4013014536531.

1356354103104 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 3 + 541 + 0 + 3 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2350700064 + ... + 2350700640.

It is an arithmetic number, because the mean of its divisors is an integer number (4061407168).

Almost surely, 21356354103104 is an apocalyptic number.

1356354103104 is a gapful number since it is divisible by the number (14) 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 1356354103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729265616896).

1356354103104 is an abundant number, since it is smaller than the sum of its proper divisors (4102177130688).

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

1356354103104 is a wasteful number, since it uses less digits than its factorization.

1356354103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 1356354103104 its reverse (4013014536531), we get a palindrome (5369368639635).

The spelling of 1356354103104 in words is "one trillion, three hundred fifty-six billion, three hundred fifty-four million, one hundred three thousand, one hundred four".