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261255630136020 = 223513225764855043
BaseRepresentation
bin111011011001110001010001…
…000001111010001011010100
31021021000210110001122101211020
4323121301101001322023110
5233220403012303323040
62323351102443241140
7106013045030441622
oct7331612101721324
91237023401571736
10261255630136020
1176275988323073
1225375111b191b0
13b2a13b9741100
144872ba8c26512
152030cd25eacd0
hexed9c5107a2d4

261255630136020 has 72 divisors (see below), whose sum is σ = 792114703472736. Its totient is φ = 64309078184832.

The previous prime is 261255630136003. The next prime is 261255630136021. The reversal of 261255630136020 is 20631036552162.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261255630136021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12882417382 + ... + 12882437661.

It is an arithmetic number, because the mean of its divisors is an integer number (11001593103788).

Almost surely, 2261255630136020 is an apocalyptic number.

261255630136020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261255630136020 is an abundant number, since it is smaller than the sum of its proper divisors (530859073336716).

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

261255630136020 is a wasteful number, since it uses less digits than its factorization.

261255630136020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25764855081 (or 25764855066 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

Adding to 261255630136020 its reverse (20631036552162), we get a palindrome (281886666688182).

The spelling of 261255630136020 in words is "two hundred sixty-one trillion, two hundred fifty-five billion, six hundred thirty million, one hundred thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 25764855043 51529710086 77294565129 103059420172 128824275215 154589130258 257648550430 309178260516 334943115559 386472825645 515297100860 669886231118 772945651290 1004829346677 1339772462236 1545891302580 1674715577795 2009658693354 3349431155590 4019317386708 4354260502267 5024146733385 6698862311180 8708521004534 10048293466770 13062781506801 17417042009068 20096586933540 21771302511335 26125563013602 43542605022670 52251126027204 65313907534005 87085210045340 130627815068010 261255630136020