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1664537112 = 233278339791
BaseRepresentation
bin110001100110110…
…1101001000011000
311022000010020122200
41203031231020120
511402110141422
6433100450200
756151221610
oct14315551030
94260106580
101664537112
11784651407
123a5549960
13206b10c04
1411b0d3a40
159b1eb2ac
hex6336d218

1664537112 has 96 divisors (see below), whose sum is σ = 5214343680. Its totient is φ = 469840320.

The previous prime is 1664537107. The next prime is 1664537131. The reversal of 1664537112 is 2117354661.

1664537112 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 537 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21937 + ... + 61727.

It is an arithmetic number, because the mean of its divisors is an integer number (54316080).

Almost surely, 21664537112 is an apocalyptic number.

1664537112 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 1664537112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607171840).

1664537112 is an abundant number, since it is smaller than the sum of its proper divisors (3549806568).

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

1664537112 is a wasteful number, since it uses less digits than its factorization.

1664537112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39893 (or 39886 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1664537112 is about 40798.7390981633. The cubic root of 1664537112 is about 1185.1259130212.

The spelling of 1664537112 in words is "one billion, six hundred sixty-four million, five hundred thirty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2988 3486 4648 5229 5976 6972 10458 13944 20916 39791 41832 79582 119373 159164 238746 278537 318328 358119 477492 557074 716238 835611 954984 1114148 1432476 1671222 2228296 2506833 2864952 3302653 3342444 5013666 6605306 6684888 9907959 10027332 13210612 19815918 20054664 23118571 26421224 29723877 39631836 46237142 59447754 69355713 79263672 92474284 118895508 138711426 184948568 208067139 237791016 277422852 416134278 554845704 832268556 1664537112