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10500600150016 = 21110368372883
BaseRepresentation
bin1001100011001101110010…
…0010101011100000000000
31101011211212212201202010021
42120303130202223200000
52334020212114300031
634155524211343224
72132433442406314
oct230633442534000
941154785652107
1010500600150016
113389309042069
1212171058b1b14
135b2282725242
14284335d37b44
151332285c3511
hex98cdc8ab800

10500600150016 has 96 divisors (see below), whose sum is σ = 21231249137280. Its totient is φ = 5191642570752.

The previous prime is 10500600150013. The next prime is 10500600150041. The reversal of 10500600150016 is 61005100600501.

It is a super-2 number, since 2×105006001500162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500600150013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144038311 + ... + 144111193.

It is an arithmetic number, because the mean of its divisors is an integer number (221158845180).

Almost surely, 210500600150016 is an apocalyptic number.

10500600150016 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 10500600150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10615624568640).

10500600150016 is an abundant number, since it is smaller than the sum of its proper divisors (10730648987264).

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

10500600150016 is an equidigital number, since it uses as much as digits as its factorization.

10500600150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73691 (or 73671 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 10500600150016 its reverse (61005100600501), we get a palindrome (71505700750517).

The spelling of 10500600150016 in words is "ten trillion, five hundred billion, six hundred million, one hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 683 824 1024 1366 1648 2048 2732 3296 5464 6592 10928 13184 21856 26368 43712 52736 70349 72883 87424 105472 140698 145766 174848 210944 281396 291532 349696 562792 583064 699392 1125584 1166128 1398784 2251168 2332256 4502336 4664512 7506949 9004672 9329024 15013898 18009344 18658048 30027796 36018688 37316096 49779089 60055592 72037376 74632192 99558178 120111184 144074752 149264384 199116356 240222368 398232712 480444736 796465424 960889472 1592930848 1921778944 3185861696 3843557888 5127246167 6371723392 7687115776 10254492334 12743446784 15374231552 20508984668 25486893568 41017969336 50973787136 82035938672 101947574272 164071877344 328143754688 656287509376 1312575018752 2625150037504 5250300075008 10500600150016