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2957147264 = 2761378733
BaseRepresentation
bin1011000001000010…
…0111110010000000
321122002101122102202
42300100213302000
522024012203024
61205233532332
7133165223411
oct26020476200
97562348382
102957147264
111288261565
126a64140a8
1338185c3a6
14200a4d808
1512492bbae
hexb0427c80

2957147264 has 32 divisors (see below), whose sum is σ = 5987784540. Its totient is φ = 1454330880.

The previous prime is 2957147209. The next prime is 2957147267. The reversal of 2957147264 is 4627417592.

It can be written as a sum of positive squares in 2 ways, for example, as 2539353664 + 417793600 = 50392^2 + 20440^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2957147267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181559 + ... + 197174.

Almost surely, 22957147264 is an apocalyptic number.

It is an amenable number.

2957147264 is an abundant number, since it is smaller than the sum of its proper divisors (3030637276).

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

2957147264 is an equidigital number, since it uses as much as digits as its factorization.

2957147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378808 (or 378796 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The square root of 2957147264 is about 54379.6585498659. The cubic root of 2957147264 is about 1435.3494620896.

The spelling of 2957147264 in words is "two billion, nine hundred fifty-seven million, one hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 378733 757466 1514932 3029864 6059728 12119456 23102713 24238912 46205426 48477824 92410852 184821704 369643408 739286816 1478573632 2957147264