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1291291296 = 253127105913
BaseRepresentation
bin100110011110111…
…1000101010100000
310022222210101122120
41030331320222200
510121032310141
6332044504240
743666536441
oct11475705240
93288711576
101291291296
1160299a299
1230054b080
131776a90b9
14c36d52c8
157856ec66
hex4cf78aa0

1291291296 has 48 divisors (see below), whose sum is σ = 3416361984. Its totient is φ = 427037184.

The previous prime is 1291291291. The next prime is 1291291303. The reversal of 1291291296 is 6921921921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12912912962 = 3334866422250719232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1291291291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40765 + ... + 65148.

It is an arithmetic number, because the mean of its divisors is an integer number (71174208).

Almost surely, 21291291296 is an apocalyptic number.

1291291296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1291291296 is an abundant number, since it is smaller than the sum of its proper divisors (2125070688).

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

1291291296 is a wasteful number, since it uses less digits than its factorization.

1291291296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106053 (or 106045 counting only the distinct ones).

The product of its digits is 34992, while the sum is 42.

The square root of 1291291296 is about 35934.5418225974. The cubic root of 1291291296 is about 1088.9503392843.

The spelling of 1291291296 in words is "one billion, two hundred ninety-one million, two hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 105913 211826 317739 423652 635478 847304 1270956 1694608 2541912 3389216 5083824 10167648 13450951 26901902 40352853 53803804 80705706 107607608 161411412 215215216 322822824 430430432 645645648 1291291296