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1464964812 = 22332921272
BaseRepresentation
bin101011101010001…
…1001011011001100
310210002120220221000
41113110121123030
511000012333222
6401211140300
751205665303
oct12724313314
93702526830
101464964812
11691a30823
1234a744690
131a46764ac
14dc7c343a
15889289ac
hex575196cc

1464964812 has 108 divisors (see below), whose sum is σ = 3964757160. Its totient is φ = 467770464.

The previous prime is 1464964811. The next prime is 1464964859. The reversal of 1464964812 is 2184694641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1464964812 is a `hidden beast` number, since 146 + 496 + 4 + 8 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×14649648122 = 4292243800796390688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1464964811) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11535093 + ... + 11535219.

Almost surely, 21464964812 is an apocalyptic number.

1464964812 is a gapful number since it is divisible by the number (12) 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 1464964812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982378580).

1464964812 is an abundant number, since it is smaller than the sum of its proper divisors (2499792348).

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

1464964812 is a wasteful number, since it uses less digits than its factorization.

1464964812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 161 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1464964812 is about 38274.8587456571. The cubic root of 1464964812 is about 1135.7316563076.

The spelling of 1464964812 in words is "one billion, four hundred sixty-four million, nine hundred sixty-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 127 174 254 261 348 381 508 522 762 783 841 1044 1143 1524 1566 1682 2286 2523 3132 3364 3429 3683 4572 5046 6858 7366 7569 10092 11049 13716 14732 15138 16129 22098 22707 30276 32258 33147 44196 45414 48387 64516 66294 90828 96774 99441 106807 132588 145161 193548 198882 213614 290322 320421 397764 427228 435483 467741 580644 640842 870966 935482 961263 1281684 1403223 1741932 1870964 1922526 2806446 2883789 3845052 4209669 5612892 5767578 8419338 11535156 12629007 13564489 16838676 25258014 27128978 40693467 50516028 54257956 81386934 122080401 162773868 244160802 366241203 488321604 732482406 1464964812