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1349976168450 = 2345272131730781
BaseRepresentation
bin10011101001010000110…
…110011001100000000010
311210001112011022212010000
4103221100312121200002
5134104222344342300
62512100454220430
7166350445046400
oct23512066314002
94701464285100
101349976168450
11480581398248
12199774354716
139a3c0c41a50
14494a6a74470
15251b165dc00
hex13a50d99802

1349976168450 has 720 divisors, whose sum is σ = 4975543747944. Its totient is φ = 268066713600.

The previous prime is 1349976168427. The next prime is 1349976168487. The reversal of 1349976168450 is 548616799431.

1349976168450 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 9 + 7 + 616 + 8 + 4 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3454970841 + 1346521197609 = 58779^2 + 1160397^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 43842060 + ... + 43872840.

Almost surely, 21349976168450 is an apocalyptic number.

1349976168450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349976168450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487771873972).

1349976168450 is an abundant number, since it is smaller than the sum of its proper divisors (3625567579494).

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

1349976168450 is a wasteful number, since it uses less digits than its factorization.

1349976168450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30849 (or 30828 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1349976168450 in words is "one trillion, three hundred forty-nine billion, nine hundred seventy-six million, one hundred sixty-eight thousand, four hundred fifty".