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261311223540 = 223513931332281
BaseRepresentation
bin1111001101011101011…
…1001101011011110100
3220222111020011112210110
43303113113031123310
513240131133123130
6320013354223020
724610351515603
oct3632727153364
9828436145713
10261311223540
11a0904411984
1242788724a70
131b845613a83
14c90cb77a3a
156be5d82ab0
hex3cd75cd6f4

261311223540 has 48 divisors (see below), whose sum is σ = 736935272640. Its totient is φ = 69181674240.

The previous prime is 261311223539. The next prime is 261311223541. The reversal of 261311223540 is 45322113162.

It is an interprime number because it is at equal distance from previous prime (261311223539) and next prime (261311223541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 261311223498 and 261311223507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261311223541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15657801 + ... + 15674480.

It is an arithmetic number, because the mean of its divisors is an integer number (15352818180).

Almost surely, 2261311223540 is an apocalyptic number.

261311223540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261311223540 is an abundant number, since it is smaller than the sum of its proper divisors (475624049100).

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

261311223540 is a wasteful number, since it uses less digits than its factorization.

261311223540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31332432 (or 31332430 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 261311223540 in words is "two hundred sixty-one billion, three hundred eleven million, two hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 31332281 62664562 93996843 125329124 156661405 187993686 313322810 375987372 469984215 626645620 939968430 1879936860 4355187059 8710374118 13065561177 17420748236 21775935295 26131122354 43551870590 52262244708 65327805885 87103741180 130655611770 261311223540