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1268895068964 = 223235247085249
BaseRepresentation
bin10010011101110000000…
…010100011001100100100
311111022020110221020102100
4102131300002203030210
5131242144114201324
62410531121012100
7160450255061265
oct22356002431444
94438213836370
101268895068964
1144a154206116
12185b06484030
139286bb460c3
14455b44ba96c
15230182de4c9
hex127700a3324

1268895068964 has 18 divisors (see below), whose sum is σ = 3207484757750. Its totient is φ = 422965022976.

The previous prime is 1268895068957. The next prime is 1268895068977. The reversal of 1268895068964 is 4698605988621.

1268895068964 is a `hidden beast` number, since 1 + 26 + 8 + 8 + 9 + 506 + 8 + 96 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1237634000100 + 31261068864 = 1112490^2 + 176808^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×12688950689643 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1268895068892 and 1268895068901.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17623542589 + ... + 17623542660.

Almost surely, 21268895068964 is an apocalyptic number.

It is an amenable number.

1268895068964 is an abundant number, since it is smaller than the sum of its proper divisors (1938589688786).

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

1268895068964 is a wasteful number, since it uses less digits than its factorization.

1268895068964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35247085259 (or 35247085254 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 1268895068964 in words is "one trillion, two hundred sixty-eight billion, eight hundred ninety-five million, sixty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 35247085249 70494170498 105741255747 140988340996 211482511494 317223767241 422965022988 634447534482 1268895068964