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1355982888960 = 21333571071637
BaseRepresentation
bin10011101110110110111…
…000001110000000000000
311210122000210000212121000
4103232312320032000000
5134204023104421320
62514532511132000
7166652343245160
oct23566670160000
94718023025530
101355982888960
11483083a99277
1219a96bb14000
139ab3a52173b
14498b67125a0
1525413b72c90
hex13bb6e0e000

1355982888960 has 896 divisors, whose sum is σ = 5564579005440. Its totient is φ = 306854756352.

The previous prime is 1355982888943. The next prime is 1355982888961. The reversal of 1355982888960 is 698882895531.

1355982888960 is a `hidden beast` number, since 1 + 3 + 5 + 598 + 28 + 8 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355982888961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 828333262 + ... + 828334898.

It is an arithmetic number, because the mean of its divisors is an integer number (6210467640).

Almost surely, 21355982888960 is an apocalyptic number.

1355982888960 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 1355982888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782289502720).

1355982888960 is an abundant number, since it is smaller than the sum of its proper divisors (4208596116480).

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

1355982888960 is a wasteful number, since it uses less digits than its factorization.

1355982888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 1355982888960 in words is "one trillion, three hundred fifty-five billion, nine hundred eighty-two million, eight hundred eighty-eight thousand, nine hundred sixty".