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10607469857712 = 243272131910515791
BaseRepresentation
bin1001101001011011111001…
…1110010000101110110000
31101120001201210221101201100
42122112332132100232300
52342243044240421322
634321000540204400
72143235664055200
oct232267636205660
941501653841640
1010607469857712
11341a66a220242
121233970239700
135bc38454c080
142895934ba400
15135dd098bdac
hex9a5be790bb0

10607469857712 has 720 divisors, whose sum is σ = 39190628305920. Its totient is φ = 2647354752000.

The previous prime is 10607469857711. The next prime is 10607469857723. The reversal of 10607469857712 is 21775896470601.

10607469857712 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 7 + 46 + 9 + 8 + 577 + 12 = 666.

It is a super-2 number, since 2×106074698577122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 10607469857712.

It is not an unprimeable number, because it can be changed into a prime (10607469857711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1831713537 + ... + 1831719327.

Almost surely, 210607469857712 is an apocalyptic number.

10607469857712 is a gapful number since it is divisible by the number (12) 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 10607469857712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595314152960).

10607469857712 is an abundant number, since it is smaller than the sum of its proper divisors (28583158448208).

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

10607469857712 is a wasteful number, since it uses less digits than its factorization.

10607469857712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6902 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 10607469857712 in words is "ten trillion, six hundred seven billion, four hundred sixty-nine million, eight hundred fifty-seven thousand, seven hundred twelve".