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11727725450 = 2527166320149
BaseRepresentation
bin10101110110000011…
…01110001110001010
31010021022210011212212
422323001232032022
5143004244203300
65215421505122
7563424010250
oct127301561612
933238704785
1011727725450
114a78aa4791
1223337121a2
13114b92361c
147d37c45d0
154898db935
hex2bb06e38a

11727725450 has 48 divisors (see below), whose sum is σ = 24946022400. Its totient is φ = 4018317120.

The previous prime is 11727725447. The next prime is 11727725479. The reversal of 11727725450 is 5452772711.

11727725450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11727725398 and 11727725407.

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 23 ways as a sum of consecutive naturals, for example, 571976 + ... + 592124.

It is an arithmetic number, because the mean of its divisors is an integer number (519708800).

Almost surely, 211727725450 is an apocalyptic number.

11727725450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11727725450 is an abundant number, since it is smaller than the sum of its proper divisors (13218296950).

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

11727725450 is a wasteful number, since it uses less digits than its factorization.

11727725450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21831 (or 21826 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 41.

The spelling of 11727725450 in words is "eleven billion, seven hundred twenty-seven million, seven hundred twenty-five thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 1663 3326 8315 11641 16630 20149 23282 40298 41575 58205 83150 100745 116410 141043 201490 282086 291025 503725 582050 705215 1007450 1410430 3526075 7052150 33507787 67015574 167538935 234554509 335077870 469109018 837694675 1172772545 1675389350 2345545090 5863862725 11727725450