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1045512664 = 23743449967
BaseRepresentation
bin111110010100010…
…100000111011000
32200212022112202021
4332110110013120
54120122401124
6251424544224
734623465610
oct7624240730
92625275667
101045512664
1149718a159
12252182074
131387b3c61
149cbd7a40
1561bc17e4
hex3e5141d8

1045512664 has 64 divisors (see below), whose sum is σ = 2299968000. Its totient is φ = 436230144.

The previous prime is 1045512649. The next prime is 1045512667. The reversal of 1045512664 is 4662155401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045512667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080709 + ... + 1081675.

It is an arithmetic number, because the mean of its divisors is an integer number (35937000).

Almost surely, 21045512664 is an apocalyptic number.

1045512664 is a gapful number since it is divisible by the number (14) 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 1045512664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149984000).

1045512664 is an abundant number, since it is smaller than the sum of its proper divisors (1254455336).

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

1045512664 is a wasteful number, since it uses less digits than its factorization.

1045512664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 1045512664 is about 32334.3882577048. The cubic root of 1045512664 is about 1014.9463807245.

The spelling of 1045512664 in words is "one billion, forty-five million, five hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 449 602 898 967 1204 1796 1934 2408 3143 3592 3868 6286 6769 7736 12572 13538 19307 25144 27076 38614 41581 54152 77228 83162 135149 154456 166324 270298 291067 332648 434183 540596 582134 868366 1081192 1164268 1736732 2328536 3039281 3473464 6078562 12157124 18669869 24314248 37339738 74679476 130689083 149358952 261378166 522756332 1045512664