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1148695219984 = 24132206112
BaseRepresentation
bin10000101101110011100…
…100100000111100010000
311001210222112201020122211
4100231303210200330100
5122310011434014414
62235411525041504
7145663511160634
oct20556344407420
94053875636584
101148695219984
11403182561554
1216675b856294
1384424428400
143d8507d0dc4
151ed30a0e3c4
hex10b73920f10

1148695219984 has 45 divisors (see below), whose sum is σ = 2410082901909. Its totient is φ = 530141302080.

The previous prime is 1148695219981. The next prime is 1148695220077. The reversal of 1148695219984 is 4899125968411.

The square root of 1148695219984 is 1071772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 169925328400 + 978769891584 = 412220^2 + 989328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1148695219981) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 55721839 + ... + 55742449.

Almost surely, 21148695219984 is an apocalyptic number.

1148695219984 is the 1071772-nd square number.

It is an amenable number.

1148695219984 is an abundant number, since it is smaller than the sum of its proper divisors (1261387681925).

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

1148695219984 is an frugal number, since it uses more digits than its factorization.

1148695219984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41256 (or 20626 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 67.

The spelling of 1148695219984 in words is "one trillion, one hundred forty-eight billion, six hundred ninety-five million, two hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 20611 41222 82444 164888 267943 329776 535886 1071772 2143544 3483259 4287088 6966518 13933036 27866072 55732144 424813321 849626642 1699253284 3398506568 5522573173 6797013136 11045146346 22090292692 44180585384 71793451249 88361170768 143586902498 287173804996 574347609992 1148695219984