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10283724374816 = 2510113723225149
BaseRepresentation
bin1001010110100101110110…
…1111010000001100100000
31100102010002102200212002202
42111221131233100030200
52321442031414443231
633512135555032332
72110655163626444
oct225513557201440
940363072625082
1010283724374816
11330533734a212
1211a107a59b6a8
1359799c088889
14277a40872824
1512c7838145cb
hex95a5dbd0320

10283724374816 has 48 divisors (see below), whose sum is σ = 20595784318200. Its totient is φ = 5053792204800.

The previous prime is 10283724374813. The next prime is 10283724374851. The reversal of 10283724374816 is 61847342738201.

It can be written as a sum of positive squares in 4 ways, for example, as 9942645014416 + 341079360400 = 3153196^2 + 584020^2 .

It is not an unprimeable number, because it can be changed into a prime (10283724374813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11169791 + ... + 12055358.

Almost surely, 210283724374816 is an apocalyptic number.

10283724374816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10283724374816 is an abundant number, since it is smaller than the sum of its proper divisors (10312059943384).

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

10283724374816 is a wasteful number, since it uses less digits than its factorization.

10283724374816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23225397 (or 23225389 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 10283724374816 in words is "ten trillion, two hundred eighty-three billion, seven hundred twenty-four million, three hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 101 137 202 274 404 548 808 1096 1616 2192 3232 4384 13837 27674 55348 110696 221392 442784 23225149 46450298 92900596 185801192 371602384 743204768 2345740049 3181845413 4691480098 6363690826 9382960196 12727381652 18765920392 25454763304 37531840784 50909526608 75063681568 101819053216 321366386713 642732773426 1285465546852 2570931093704 5141862187408 10283724374816