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12461542050 = 2352412717477
BaseRepresentation
bin10111001101100010…
…00000101010100010
31012011110120221000110
423212301000222202
5201010123321200
65420314032150
7620544234246
oct134661005242
935143527013
1012461542050
115315240a91
1224b9418656
131237972c29
14863042426
154ce03db50
hex2e6c40aa2

12461542050 has 96 divisors (see below), whose sum is σ = 31779465984. Its totient is φ = 3229632000.

The previous prime is 12461542039. The next prime is 12461542061. The reversal of 12461542050 is 5024516421.

It is an interprime number because it is at equal distance from previous prime (12461542039) and next prime (12461542061).

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 = 12461541999 and 12461542017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1662912 + ... + 1670388.

It is an arithmetic number, because the mean of its divisors is an integer number (331036104).

Almost surely, 212461542050 is an apocalyptic number.

12461542050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12461542050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15889732992).

12461542050 is an abundant number, since it is smaller than the sum of its proper divisors (19317923934).

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

12461542050 is a wasteful number, since it uses less digits than its factorization.

12461542050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7804 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 12461542050 in words is "twelve billion, four hundred sixty-one million, five hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 271 410 542 615 813 1025 1230 1355 1626 2050 2710 3075 4065 6150 6775 7477 8130 11111 13550 14954 20325 22222 22431 33333 37385 40650 44862 55555 66666 74770 111110 112155 166665 186925 224310 277775 306557 333330 373850 555550 560775 613114 833325 919671 1121550 1532785 1666650 1839342 2026267 3065570 4052534 4598355 6078801 7663925 9196710 10131335 12157602 15327850 20262670 22991775 30394005 45983550 50656675 60788010 83076947 101313350 151970025 166153894 249230841 303940050 415384735 498461682 830769470 1246154205 2076923675 2492308410 4153847350 6230771025 12461542050