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10442228544 = 26321119127683
BaseRepresentation
bin10011011100110011…
…11100001101000000
3222221201220011122100
421232121330031000
5132341202303134
64444101110400
7516524322666
oct115631741500
928851804570
1010442228544
114479402950
1220350b8400
13ca54c5a77
14710b9ac36
15411b13999
hex26e67c340

10442228544 has 336 divisors, whose sum is σ = 34691604480. Its totient is φ = 2969809920.

The previous prime is 10442228543. The next prime is 10442228557. The reversal of 10442228544 is 44582224401.

10442228544 is a `hidden beast` number, since 104 + 4 + 2 + 2 + 2 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10442228499 and 10442228508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442228543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15288427 + ... + 15289109.

Almost surely, 210442228544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345802240).

10442228544 is an abundant number, since it is smaller than the sum of its proper divisors (24249375936).

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

10442228544 is a wasteful number, since it uses less digits than its factorization.

10442228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 10442228544 in words is "ten billion, four hundred forty-two million, two hundred twenty-eight thousand, five hundred forty-four".