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10294560900096 = 21031117232967401
BaseRepresentation
bin1001010111001110001110…
…1001010100010000000000
31100110011001122112101011220
42111303203221110100000
52322131230042300341
633521131143235040
72111520546601554
oct225634351242000
940404048471156
1010294560900096
113309998282030
1211a31a3748a80
13598a08177005
1427838bb4b864
1512cbb9d61a66
hex95ce3a54400

10294560900096 has 1408 divisors, whose sum is σ = 34809601167360. Its totient is φ = 2664431616000.

The previous prime is 10294560900059. The next prime is 10294560900109. The reversal of 10294560900096 is 69000906549201.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 25672221496 + ... + 25672221896.

Almost surely, 210294560900096 is an apocalyptic number.

10294560900096 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 10294560900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404800583680).

10294560900096 is an abundant number, since it is smaller than the sum of its proper divisors (24515040267264).

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

10294560900096 is a wasteful number, since it uses less digits than its factorization.

10294560900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 10294560900096 in words is "ten trillion, two hundred ninety-four billion, five hundred sixty million, nine hundred thousand, ninety-six".