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1004155344512 = 2735322223693
BaseRepresentation
bin11101001110011000101…
…00101001011010000000
310112222220022102210112122
432213030110221122000
5112423002232011022
62045145205543412
7132355622412035
oct16471424513200
93488808383478
101004155344512
11357950571811
12142741714b68
13738cb13a988
143685c27738c
151b1c1474742
hexe9cc529680

1004155344512 has 32 divisors (see below), whose sum is σ = 2006132857380. Its totient is φ = 500655333376.

The previous prime is 1004155344499. The next prime is 1004155344547. The reversal of 1004155344512 is 2154435514001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 943493624896 + 60661719616 = 971336^2 + 246296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 11066663 + ... + 11157030.

Almost surely, 21004155344512 is an apocalyptic number.

It is an amenable number.

1004155344512 is a deficient number, since it is larger than the sum of its proper divisors (1001977512868).

1004155344512 is an equidigital number, since it uses as much as digits as its factorization.

1004155344512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22224060 (or 22224048 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 1004155344512 in words is "one trillion, four billion, one hundred fifty-five million, three hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 353 706 1412 2824 5648 11296 22592 45184 22223693 44447386 88894772 177789544 355579088 711158176 1422316352 2844632704 7844963629 15689927258 31379854516 62759709032 125519418064 251038836128 502077672256 1004155344512