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1147485696 = 29371941137
BaseRepresentation
bin100010001100101…
…0011111000000000
32221222012022110020
41010121103320000
54322224020241
6305510333440
740302316230
oct10431237000
92858168406
101147485696
115397a8a95
1228035a280
13153968826
14ac57dcc0
156ab15b66
hex44653e00

1147485696 has 320 divisors, whose sum is σ = 3794757120. Its totient is φ = 300810240.

The previous prime is 1147485671. The next prime is 1147485697. The reversal of 1147485696 is 6965847411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147485697) 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 31 ways as a sum of consecutive naturals, for example, 8375740 + ... + 8375876.

It is an arithmetic number, because the mean of its divisors is an integer number (11858616).

Almost surely, 21147485696 is an apocalyptic number.

1147485696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1147485696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897378560).

1147485696 is an abundant number, since it is smaller than the sum of its proper divisors (2647271424).

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

1147485696 is a wasteful number, since it uses less digits than its factorization.

1147485696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 1147485696 is about 33874.5582406620. The cubic root of 1147485696 is about 1046.9254568995.

The spelling of 1147485696 in words is "one billion, one hundred forty-seven million, four hundred eighty-five thousand, six hundred ninety-six".