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10343556005985 = 325229856800133
BaseRepresentation
bin1001011010000100101111…
…1110110100000001100001
31100121211112012110122020100
42112201023332310001201
52323432100314142420
633555433010333013
72115203650251066
oct226411376640141
940554465418210
1010343556005985
11332874a789284
1211b0797b8a169
135a0515985027
1427a8b8c18c6d
1512e0d63aa190
hex9684bfb4061

10343556005985 has 12 divisors (see below), whose sum is σ = 17928830410452. Its totient is φ = 5516563203168.

The previous prime is 10343556005983. The next prime is 10343556005987. The reversal of 10343556005985 is 58950065534301.

10343556005985 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 3 + 556 + 0 + 0 + 5 + 9 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (10343556005983) and next prime (10343556005987).

It can be written as a sum of positive squares in 2 ways, for example, as 7168235150736 + 3175320855249 = 2677356^2 + 1781943^2 .

It is not a de Polignac number, because 10343556005985 - 21 = 10343556005983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10343556005983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114928400022 + ... + 114928400111.

It is an arithmetic number, because the mean of its divisors is an integer number (1494069200871).

Almost surely, 210343556005985 is an apocalyptic number.

10343556005985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10343556005985 is a deficient number, since it is larger than the sum of its proper divisors (7585274404467).

10343556005985 is a wasteful number, since it uses less digits than its factorization.

10343556005985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229856800144 (or 229856800141 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 10343556005985 in words is "ten trillion, three hundred forty-three billion, five hundred fifty-six million, five thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 229856800133 689570400399 1149284000665 2068711201197 3447852001995 10343556005985