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1318412803680 = 25345731676997
BaseRepresentation
bin10011001011110111100…
…001101101111001100000
311200001001110021210110000
4103023313201231321200
5133100102134204210
62445400453540000
7164152332632640
oct23136741557140
94601043253400
101318412803680
11469154725115
12193625944600
1397430a0004b
1447b50b50520
1524465670ac0
hex132f786de60

1318412803680 has 960 divisors, whose sum is σ = 5571857313792. Its totient is φ = 287236730880.

The previous prime is 1318412803679. The next prime is 1318412803709. The reversal of 1318412803680 is 863082148131.

1318412803680 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 4 + 1 + 280 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 188421942 + ... + 188428938.

Almost surely, 21318412803680 is an apocalyptic number.

1318412803680 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 1318412803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785928656896).

1318412803680 is an abundant number, since it is smaller than the sum of its proper divisors (4253444510112).

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

1318412803680 is a wasteful number, since it uses less digits than its factorization.

1318412803680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7129 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1318412803680 in words is "one trillion, three hundred eighteen billion, four hundred twelve million, eight hundred three thousand, six hundred eighty".