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10424860096000 = 29537591492647
BaseRepresentation
bin1001011110110011101000…
…0101010011011000000000
31100220121101102110100102111
42113230322011103120000
52331300103141033000
634101040431225104
72124112515516310
oct227547205233000
940817342410374
1010424860096000
11335a1818264a9
1212044a8678194
135a80a202762c
142807ccc5b440
151312940c5cba
hex97b3a153600

10424860096000 has 640 divisors, whose sum is σ = 30426409728000. Its totient is φ = 3488757350400.

The previous prime is 10424860095997. The next prime is 10424860096003. The reversal of 10424860096000 is 69006842401.

It is an interprime number because it is at equal distance from previous prime (10424860095997) and next prime (10424860096003).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424860096003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3938366677 + ... + 3938369323.

It is an arithmetic number, because the mean of its divisors is an integer number (47541265200).

Almost surely, 210424860096000 is an apocalyptic number.

10424860096000 is a gapful number since it is divisible by the number (10) 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 10424860096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213204864000).

10424860096000 is an abundant number, since it is smaller than the sum of its proper divisors (20001549632000).

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

10424860096000 is an equidigital number, since it uses as much as digits as its factorization.

10424860096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 10424860096000 in words is "ten trillion, four hundred twenty-four billion, eight hundred sixty million, ninety-six thousand".