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1046353434012 = 2232103282188089
BaseRepresentation
bin11110011100111111000…
…01100101010110011100
310201000211011120211222100
433032133201211112130
5114120412434342022
62120404345245100
7135411420304035
oct17163741452634
93630734524870
101046353434012
11373835264a47
1214a959793790
13778947030c3
1438902745a8c
151c340dec1ac
hexf39f86559c

1046353434012 has 36 divisors (see below), whose sum is σ = 2670628083760. Its totient is φ = 345398219712.

The previous prime is 1046353433977. The next prime is 1046353434029. The reversal of 1046353434012 is 2104343536401.

1046353434012 is a `hidden beast` number, since 1 + 0 + 4 + 635 + 3 + 4 + 3 + 4 + 0 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10463534340122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141090337 + ... + 141097752.

Almost surely, 21046353434012 is an apocalyptic number.

1046353434012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1046353434012 is an abundant number, since it is smaller than the sum of its proper divisors (1624274649748).

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

1046353434012 is a wasteful number, since it uses less digits than its factorization.

1046353434012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282188202 (or 282188197 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1046353434012 in words is "one trillion, forty-six billion, three hundred fifty-three million, four hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 282188089 564376178 846564267 1128752356 1693128534 2539692801 3386257068 5079385602 10158771204 29065373167 58130746334 87196119501 116261492668 174392239002 261588358503 348784478004 523176717006 1046353434012