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261488781413040 = 24356188720136703
BaseRepresentation
bin111011011101001010011001…
…111011011100101010110000
31021021212002020202220110002110
4323131022121323130222300
5233233213011020204130
62324050142100245320
7106035640524546216
oct7335123173345260
91237762222813073
10261488781413040
1176355851122375
12253b233b9a0840
13b2ba394c64b1c
1448801a5a96cb6
152036dcb170ab0
hexedd299edcab0

261488781413040 has 160 divisors (see below), whose sum is σ = 824832903315456. Its totient is φ = 68509893012480.

The previous prime is 261488781413039. The next prime is 261488781413053. The reversal of 261488781413040 is 40314187884162.

It is a super-2 number, since 2×2614887814130402 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2917329 + ... + 23054031.

Almost surely, 2261488781413040 is an apocalyptic number.

261488781413040 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 261488781413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412416451657728).

261488781413040 is an abundant number, since it is smaller than the sum of its proper divisors (563344121902416).

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

261488781413040 is a wasteful number, since it uses less digits than its factorization.

261488781413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20137667 (or 20137661 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 261488781413040 in words is "two hundred sixty-one trillion, four hundred eighty-eight billion, seven hundred eighty-one million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 887 915 976 1220 1464 1774 1830 2440 2661 2928 3548 3660 4435 4880 5322 7096 7320 8870 10644 13305 14192 14640 17740 21288 26610 35480 42576 53220 54107 70960 106440 108214 162321 212880 216428 270535 324642 432856 541070 649284 811605 865712 1082140 1298568 1623210 2164280 2597136 3246420 4328560 6492840 12985680 20136703 40273406 60410109 80546812 100683515 120820218 161093624 201367030 241640436 302050545 322187248 402734060 483280872 604101090 805468120 966561744 1208202180 1228338883 1610936240 2416404360 2456677766 3685016649 4832808720 4913355532 6141694415 7370033298 9826711064 12283388830 14740066596 17861255561 18425083245 19653422128 24566777660 29480133192 35722511122 36850166490 49133555320 53583766683 58960266384 71445022244 73700332980 89306277805 98267110640 107167533366 142890044488 147400665960 178612555610 214335066732 267918833415 285780088976 294801331920 357225111220 428670133464 535837666830 714450222440 857340266928 1071675333660 1089536589221 1428900444880 2143350667320 2179073178442 3268609767663 4286701334640 4358146356884 5447682946105 6537219535326 8716292713768 10895365892210 13074439070652 16343048838315 17432585427536 21790731784420 26148878141304 32686097676630 43581463568840 52297756282608 65372195353260 87162927137680 130744390706520 261488781413040