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10630450060032 = 2831131269315073
BaseRepresentation
bin1001101010110001100000…
…1100110001101100000000
31101122021001100020121222210
42122230120030301230000
52343132130203410112
634335321125502120
72145011314420455
oct232543014615400
941567040217883
1010630450060032
113429391a18390
121238304271940
135c15a7498c1a
1428a7334d382c
151367c818ab3c
hex9ab18331b00

10630450060032 has 288 divisors, whose sum is σ = 31874121086976. Its totient is φ = 3116069683200.

The previous prime is 10630450060031. The next prime is 10630450060103. The reversal of 10630450060032 is 23006005403601.

It is a super-2 number, since 2×106304500600322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10630450060031) 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 31 ways as a sum of consecutive naturals, for example, 705256848 + ... + 705271920.

It is an arithmetic number, because the mean of its divisors is an integer number (110674031552).

Almost surely, 210630450060032 is an apocalyptic number.

10630450060032 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 10630450060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937060543488).

10630450060032 is an abundant number, since it is smaller than the sum of its proper divisors (21243671026944).

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

10630450060032 is a wasteful number, since it uses less digits than its factorization.

10630450060032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17827 (or 17813 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 10630450060032 its reverse (23006005403601), we get a palindrome (33636455463633).

The spelling of 10630450060032 in words is "ten trillion, six hundred thirty billion, four hundred fifty million, sixty thousand, thirty-two".