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1076714408081 = 134571280914149
BaseRepresentation
bin11111010101100010010…
…11100000100010010001
310210221012002010010200102
433222301023200202101
5120120102342024311
62142345154302145
7140534662314314
oct17526113404221
93727162103612
101076714408081
113856a5239154
12154811587955
137a6c27c4410
143a182ab697b
151d01b57b43b
hexfab12e0891

1076714408081 has 16 divisors (see below), whose sum is σ = 1162248738000. Its totient is φ = 991567899648.

The previous prime is 1076714408069. The next prime is 1076714408173. The reversal of 1076714408081 is 1808044176701.

It can be written as a sum of positive squares in 8 ways, for example, as 34804260481 + 1041910147600 = 186559^2 + 1020740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1076714408081 is a prime.

It is a super-3 number, since 3×10767144080813 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1076714408981) 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, 76091195 + ... + 76105343.

It is an arithmetic number, because the mean of its divisors is an integer number (72640546125).

Almost surely, 21076714408081 is an apocalyptic number.

It is an amenable number.

1076714408081 is a deficient number, since it is larger than the sum of its proper divisors (85534329919).

1076714408081 is a wasteful number, since it uses less digits than its factorization.

1076714408081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27428.

The product of its (nonzero) digits is 301056, while the sum is 47.

The spelling of 1076714408081 in words is "one trillion, seventy-six billion, seven hundred fourteen million, four hundred eight thousand, eighty-one".

Divisors: 1 13 457 5941 12809 14149 166517 183937 5853713 6466093 76098269 84059209 181234541 2356049033 82824185237 1076714408081