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10000009350924 = 223173113933733757
BaseRepresentation
bin1001000110000100111100…
…0000010100111100001100
31022101222202211211022212220
42101201033000110330030
52302320004343212144
633133535121255340
72051322361001415
oct221411700247414
938358684738786
1010000009350924
113205a8664055a
12115609aa94550
13576cc6080808
1426800848480c
151251cab8d919
hex9184f014f0c

10000009350924 has 192 divisors, whose sum is σ = 25763327815680. Its totient is φ = 3005180559360.

The previous prime is 10000009350923. The next prime is 10000009350943. The reversal of 10000009350924 is 42905390000001.

It is not an unprimeable number, because it can be changed into a prime (10000009350923) 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 63 ways as a sum of consecutive naturals, for example, 296218254 + ... + 296252010.

It is an arithmetic number, because the mean of its divisors is an integer number (134183999040).

Almost surely, 210000009350924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000009350924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881663907840).

10000009350924 is an abundant number, since it is smaller than the sum of its proper divisors (15763318464756).

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

10000009350924 is a wasteful number, since it uses less digits than its factorization.

10000009350924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34288 (or 34286 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

Adding to 10000009350924 its reverse (42905390000001), we get a palindrome (52905399350925).

The spelling of 10000009350924 in words is "ten trillion, nine million, three hundred fifty thousand, nine hundred twenty-four".