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26009879040 = 293251128901
BaseRepresentation
bin11000001110010011…
…110100001000000000
32111010200011202102100
4120032103310020000
5411232012112130
615540533550400
71610356216065
oct301623641000
974120152370
1026009879040
1110037998102
12505a7a5400
1325b6822192
14138a546c6c
15a236a5c60
hex60e4f4200

26009879040 has 120 divisors (see below), whose sum is σ = 90079606188. Its totient is φ = 6935961600.

The previous prime is 26009879033. The next prime is 26009879041. The reversal of 26009879040 is 4097890062.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24953889024 + 1055990016 = 157968^2 + 32496^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26009879041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541411 + ... + 587490.

Almost surely, 226009879040 is an apocalyptic number.

26009879040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26009879040 is an abundant number, since it is smaller than the sum of its proper divisors (64069727148).

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

26009879040 is a wasteful number, since it uses less digits than its factorization.

26009879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128930 (or 1128911 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 26009879040 in words is "twenty-six billion, nine million, eight hundred seventy-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 1128901 2257802 3386703 4515604 5644505 6773406 9031208 10160109 11289010 13546812 16933515 18062416 20320218 22578020 27093624 33867030 36124832 40640436 45156040 50800545 54187248 67734060 72249664 81280872 90312080 101601090 108374496 135468120 144499328 162561744 180624160 203202180 216748992 270936240 288998656 325123488 361248320 406404360 433497984 541872480 577997312 650246976 722496640 812808720 866995968 1083744960 1300493952 1444993280 1625617440 1733991936 2167489920 2600987904 2889986560 3251234880 4334979840 5201975808 6502469760 8669959680 13004939520 26009879040