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10499110451424 = 25327311297129527
BaseRepresentation
bin1001100011001000001110…
…1111111011100011100000
31101011201001001121012211100
42120302003233323203200
52334004134233421144
634155120314114400
72132351513234610
oct230620357734340
941151031535740
1010499110451424
113388714158501
12121696aa1ba00
135b20a5bcba9a
14284234156a40
1513318c911269
hex98c83bfb8e0

10499110451424 has 288 divisors, whose sum is σ = 35250251452416. Its totient is φ = 2900719226880.

The previous prime is 10499110451399. The next prime is 10499110451537. The reversal of 10499110451424 is 42415401199401.

10499110451424 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 9 + 1 + 104 + 514 + 24 = 666.

10499110451424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×104991104514242 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10499110451424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80992549 + ... + 81122075.

It is an arithmetic number, because the mean of its divisors is an integer number (122396706432).

Almost surely, 210499110451424 is an apocalyptic number.

10499110451424 is a gapful number since it is divisible by the number (14) 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 10499110451424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625125726208).

10499110451424 is an abundant number, since it is smaller than the sum of its proper divisors (24751141000992).

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

10499110451424 is a wasteful number, since it uses less digits than its factorization.

10499110451424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130878 (or 130867 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10499110451424 in words is "ten trillion, four hundred ninety-nine billion, one hundred ten million, four hundred fifty-one thousand, four hundred twenty-four".