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1350719568 = 2432115997149
BaseRepresentation
bin101000010000010…
…0101100001010000
310111010121122220200
41100200211201100
510231241011233
6342010335200
745320632632
oct12040454120
93433548820
101350719568
1163349a670
1231842a500
13186ab5a63
14cb564a52
157d8ad313
hex50825850

1350719568 has 240 divisors, whose sum is σ = 4265352000. Its totient is φ = 395550720.

The previous prime is 1350719543. The next prime is 1350719593. The reversal of 1350719568 is 8659170531.

It is a happy number.

1350719568 is a `hidden beast` number, since 13 + 5 + 0 + 71 + 9 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (1350719543) and next prime (1350719593).

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, 9065158 + ... + 9065306.

It is an arithmetic number, because the mean of its divisors is an integer number (17772300).

Almost surely, 21350719568 is an apocalyptic number.

1350719568 is a gapful number since it is divisible by the number (18) 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 1350719568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132676000).

1350719568 is an abundant number, since it is smaller than the sum of its proper divisors (2914632432).

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

1350719568 is a wasteful number, since it uses less digits than its factorization.

1350719568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 1350719568 is about 36752.1369174637. The cubic root of 1350719568 is about 1105.4057785052.

The spelling of 1350719568 in words is "one billion, three hundred fifty million, seven hundred nineteen thousand, five hundred sixty-eight".