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1004953657472 = 27886072
BaseRepresentation
bin11101001111110111110…
…01111110000010000000
310120001221221121022001022
432213323321332002000
5112431121114014342
62045400324325012
7132414455101052
oct16477371760200
93501857538038
101004953657472
11358220160096
12142924b43768
13739c764c9cb
14368d62c38d2
151b21b5b69d2
hexe9fbe7e080

1004953657472 has 24 divisors (see below), whose sum is σ = 2002078709535. Its totient is φ = 502471157888.

The previous prime is 1004953657469. The next prime is 1004953657597. The reversal of 1004953657472 is 2747563594001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 502476828736 + 502476828736 = 708856^2 + 708856^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=708856.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11297393 + ... + 11385999.

Almost surely, 21004953657472 is an apocalyptic number.

It is an amenable number.

1004953657472 is a deficient number, since it is larger than the sum of its proper divisors (997125052063).

1004953657472 is an frugal number, since it uses more digits than its factorization.

1004953657472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177228 (or 88609 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 53.

The spelling of 1004953657472 in words is "one trillion, four billion, nine hundred fifty-three million, six hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 88607 177214 354428 708856 1417712 2835424 5670848 11341696 7851200449 15702400898 31404801796 62809603592 125619207184 251238414368 502476828736 1004953657472