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2350752768 = 210327132803
BaseRepresentation
bin1000110000011101…
…1010010000000000
320001211100121120100
42030013122100000
514303243042033
61025132442400
7112153032420
oct21407322000
96054317510
102350752768
11aa6a36391
12557319400
132b6035090
141842c0480
15db599513
hex8c1da400

2350752768 has 264 divisors, whose sum is σ = 8357131328. Its totient is φ = 619757568.

The previous prime is 2350752737. The next prime is 2350752773. The reversal of 2350752768 is 8672570532.

2350752768 is a `hidden beast` number, since 23 + 507 + 52 + 76 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837255 + ... + 840057.

Almost surely, 22350752768 is an apocalyptic number.

2350752768 is a gapful number since it is divisible by the number (28) 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 2350752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178565664).

2350752768 is an abundant number, since it is smaller than the sum of its proper divisors (6006378560).

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

2350752768 is a wasteful number, since it uses less digits than its factorization.

2350752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2350752768 is about 48484.5621615788. The cubic root of 2350752768 is about 1329.6448385527.

The spelling of 2350752768 in words is "two billion, three hundred fifty million, seven hundred fifty-two thousand, seven hundred sixty-eight".