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26270013140 = 22575910131489
BaseRepresentation
bin11000011101110100…
…001001011011010100
32111210210122221022122
4120131310021123110
5412300110410030
620022425315112
71616665266410
oct303564113324
974723587278
1026270013140
1110160812768
125111935a98
1326286a2497
1413b2cddd40
15a3b43c8e5
hex61dd096d4

26270013140 has 96 divisors (see below), whose sum is σ = 64753516800. Its totient is φ = 8766259200.

The previous prime is 26270013131. The next prime is 26270013191. The reversal of 26270013140 is 4131007262.

It is a super-2 number, since 2×262700131402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 818516 + ... + 850004.

It is an arithmetic number, because the mean of its divisors is an integer number (674515800).

Almost surely, 226270013140 is an apocalyptic number.

26270013140 is a gapful number since it is divisible by the number (20) 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 26270013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32376758400).

26270013140 is an abundant number, since it is smaller than the sum of its proper divisors (38483503660).

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

26270013140 is a wasteful number, since it uses less digits than its factorization.

26270013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31665 (or 31663 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 26270013140 in words is "twenty-six billion, two hundred seventy million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 101 118 140 202 236 295 404 413 505 590 707 826 1010 1180 1414 1652 2020 2065 2828 3535 4130 5959 7070 8260 11918 14140 23836 29795 31489 41713 59590 62978 83426 119180 125956 157445 166852 208565 220423 314890 417130 440846 629780 834260 881692 1102115 1857851 2204230 3180389 3715702 4408460 6360778 7431404 9289255 12721556 13004957 15901945 18578510 22262723 26009914 31803890 37157020 44525446 52019828 63607780 65024785 89050892 111313615 130049570 187642951 222627230 260099140 375285902 445254460 750571804 938214755 1313500657 1876429510 2627001314 3752859020 5254002628 6567503285 13135006570 26270013140