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1213714790496 = 25351331387307
BaseRepresentation
bin10001101010010111000…
…010011111100001100000
311022000210212111122200000
4101222113002133201200
5124341141441243441
62325323424100000
7153454661332665
oct21522702374140
94260725448600
101213714790496
114288083a319a
12177286764600
138a5b6aa6c60
1442a5bb9ba6c
1521888c822b6
hex11a9709f860

1213714790496 has 288 divisors, whose sum is σ = 3979022681088. Its totient is φ = 361402974720.

The previous prime is 1213714790489. The next prime is 1213714790507. The reversal of 1213714790496 is 6940974173121.

1213714790496 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 7 + 147 + 9 + 0 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2940075 + ... + 3327381.

It is an arithmetic number, because the mean of its divisors is an integer number (13816050976).

Almost surely, 21213714790496 is an apocalyptic number.

1213714790496 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 1213714790496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989511340544).

1213714790496 is an abundant number, since it is smaller than the sum of its proper divisors (2765307890592).

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

1213714790496 is a wasteful number, since it uses less digits than its factorization.

1213714790496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387376 (or 387356 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1213714790496 in words is "one trillion, two hundred thirteen billion, seven hundred fourteen million, seven hundred ninety thousand, four hundred ninety-six".