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26444141442 = 2341915795441
BaseRepresentation
bin11000101000001100…
…011001001110000010
32112020221022120110000
4120220030121032002
5413124200011232
620052005420430
71624211331165
oct305014311602
975227276400
1026444141442
1110240034954
12516010a716
13265579b894
1413cc0a9adc
15a4b88627c
hex628319382

26444141442 has 80 divisors (see below), whose sum is σ = 62424093600. Its totient is φ = 8343959040.

The previous prime is 26444141441. The next prime is 26444141447. The reversal of 26444141442 is 24414144462.

26444141442 is a `hidden beast` number, since 2 + 644 + 4 + 1 + 4 + 1 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26444141397 and 26444141406.

It is not an unprimeable number, because it can be changed into a prime (26444141441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4857442 + ... + 4862882.

It is an arithmetic number, because the mean of its divisors is an integer number (780301170).

Almost surely, 226444141442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26444141442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31212046800).

26444141442 is an abundant number, since it is smaller than the sum of its proper divisors (35979952158).

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

26444141442 is a wasteful number, since it uses less digits than its factorization.

26444141442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7053 (or 7044 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The spelling of 26444141442 in words is "twenty-six billion, four hundred forty-four million, one hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 1579 3078 3158 4737 5441 9474 10882 14211 16323 28422 30001 32646 42633 48969 60002 85266 90003 97938 103379 127899 146907 180006 206758 255798 270009 293814 310137 440721 540018 620274 810027 881442 930411 1620054 1860822 2430081 2791233 4860162 5582466 8373699 8591339 16747398 17182678 25774017 51548034 77322051 154644102 163235441 231966153 326470882 463932306 489706323 695898459 979412646 1391796918 1469118969 2938237938 4407356907 8814713814 13222070721 26444141442