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1350252389376 = 210321123373593
BaseRepresentation
bin10011101001100001010…
…100000110010000000000
311210002020102002022222200
4103221201110012100000
5134110304102430001
62512144122433200
7166360340640252
oct23514124062000
94702212068880
101350252389376
11480703300100
12199830962800
139a436235297
14494d1617cd2
15251caa22086
hex13a61506400

1350252389376 has 396 divisors, whose sum is σ = 4299397593036. Its totient is φ = 407839703040.

The previous prime is 1350252389371. The next prime is 1350252389411. The reversal of 1350252389376 is 6739832520531.

1350252389376 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 2 + 523 + 89 + 37 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 396114149376 + 954138240000 = 629376^2 + 976800^2 .

It is a tau number, because it is divible by the number of its divisors (396).

It is not an unprimeable number, because it can be changed into a prime (1350252389371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 375799036 + ... + 375802628.

Almost surely, 21350252389376 is an apocalyptic number.

1350252389376 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 1350252389376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149698796518).

1350252389376 is an abundant number, since it is smaller than the sum of its proper divisors (2949145203660).

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

1350252389376 is a wasteful number, since it uses less digits than its factorization.

1350252389376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 1350252389376 in words is "one trillion, three hundred fifty billion, two hundred fifty-two million, three hundred eighty-nine thousand, three hundred seventy-six".