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1350856416 = 2537131011531
BaseRepresentation
bin101000010000100…
…0110111011100000
310111010212121122010
41100201012323200
510231304401131
6342013312520
745322042620
oct12041067340
93433777563
101350856416
11633583468
12318495740
13186b33130
14cb59c880
157d8d8b46
hex50846ee0

1350856416 has 192 divisors, whose sum is σ = 4410395136. Its totient is φ = 352512000.

The previous prime is 1350856391. The next prime is 1350856439. The reversal of 1350856416 is 6146580531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881571 + ... + 883101.

It is an arithmetic number, because the mean of its divisors is an integer number (22970808).

Almost surely, 21350856416 is an apocalyptic number.

1350856416 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 1350856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205197568).

1350856416 is an abundant number, since it is smaller than the sum of its proper divisors (3059538720).

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

1350856416 is a wasteful number, since it uses less digits than its factorization.

1350856416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 1350856416 is about 36753.9986396038. The cubic root of 1350856416 is about 1105.4431085983.

The spelling of 1350856416 in words is "one billion, three hundred fifty million, eight hundred fifty-six thousand, four hundred sixteen".