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1083148064 = 25173753813
BaseRepresentation
bin100000010001111…
…1000011100100000
32210111010121210222
41000203320130200
54204241214224
6255251342212
735561415035
oct10043703440
92714117728
101083148064
11506455199
122628b1968
1314353041b
14a3bd338c
1565157b5e
hex408f8720

1083148064 has 48 divisors (see below), whose sum is σ = 2318952888. Its totient is φ = 495931392.

The previous prime is 1083148049. The next prime is 1083148069. The reversal of 1083148064 is 4608413801.

It can be written as a sum of positive squares in 4 ways, for example, as 1082936464 + 211600 = 32908^2 + 460^2 .

It is not an unprimeable number, because it can be changed into a prime (1083148069) 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 7 ways as a sum of consecutive naturals, for example, 6779 + ... + 47034.

Almost surely, 21083148064 is an apocalyptic number.

It is an amenable number.

1083148064 is an abundant number, since it is smaller than the sum of its proper divisors (1235804824).

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

1083148064 is a wasteful number, since it uses less digits than its factorization.

1083148064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53877 (or 53869 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 1083148064 is about 32911.2148666682. The cubic root of 1083148064 is about 1026.9814738960.

The spelling of 1083148064 in words is "one billion, eighty-three million, one hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1184 1258 2516 5032 10064 20128 53813 107626 215252 430504 861008 914821 1722016 1829642 1991081 3659284 3982162 7318568 7964324 14637136 15928648 29274272 31857296 33848377 63714592 67696754 135393508 270787016 541574032 1083148064