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26420055440 = 2451372410589
BaseRepresentation
bin11000100110110000…
…100000110110010000
32112012020222212122212
4120212300200312100
5413102013233230
620045345251252
71623466523462
oct304660406620
975166885585
1026420055440
1110228483769
125154033b28
1326507b76cc
1413c8bda132
15a496c9895
hex626c20d90

26420055440 has 40 divisors (see below), whose sum is σ = 61875024120. Its totient is φ = 10490878976.

The previous prime is 26420055439. The next prime is 26420055469. The reversal of 26420055440 is 4455002462.

It can be written as a sum of positive squares in 4 ways, for example, as 1596162304 + 24823893136 = 39952^2 + 157556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 26420055397 and 26420055406.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1194335 + ... + 1216254.

It is an arithmetic number, because the mean of its divisors is an integer number (1546875603).

Almost surely, 226420055440 is an apocalyptic number.

26420055440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26420055440 is an abundant number, since it is smaller than the sum of its proper divisors (35454968680).

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

26420055440 is a wasteful number, since it uses less digits than its factorization.

26420055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410739 (or 2410733 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 26420055440 in words is "twenty-six billion, four hundred twenty million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 2410589 4821178 9642356 12052945 19284712 24105890 38569424 48211780 96423560 192847120 330250693 660501386 1321002772 1651253465 2642005544 3302506930 5284011088 6605013860 13210027720 26420055440