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10495055844 = 223371397101109
BaseRepresentation
bin10011100011000110…
…11101011111100100
31000002102022002002000
421301203131133210
5132443213241334
64453225245300
7521035334310
oct116143353744
930072262060
1010495055844
1144a6204879
12204a933830
13cb3431020
14717bccb40
1541659b299
hex2718dd7e4

10495055844 has 384 divisors, whose sum is σ = 34482201600. Its totient is φ = 2687385600.

The previous prime is 10495055843. The next prime is 10495055903. The reversal of 10495055844 is 44855059401.

10495055844 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 50 + 558 + 44 = 666.

It is a super-2 number, since 2×104950558442 (a number of 21 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 10495055844.

It is not an unprimeable number, because it can be changed into a prime (10495055843) 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 127 ways as a sum of consecutive naturals, for example, 96284862 + ... + 96284970.

It is an arithmetic number, because the mean of its divisors is an integer number (89797400).

Almost surely, 210495055844 is an apocalyptic number.

10495055844 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 10495055844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241100800).

10495055844 is an abundant number, since it is smaller than the sum of its proper divisors (23987145756).

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

10495055844 is a wasteful number, since it uses less digits than its factorization.

10495055844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 10495055844 in words is "ten billion, four hundred ninety-five million, fifty-five thousand, eight hundred forty-four".