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1664544420 = 22325711120097
BaseRepresentation
bin110001100110110…
…1110111010100100
311022000010121200100
41203031232322210
511402110410140
6433100544100
756151252120
oct14315567244
94260117610
101664544420
11784656950
123a5552030
13206b14336
1411b0d6580
159b1ed530
hex6336eea4

1664544420 has 144 divisors (see below), whose sum is σ = 6295056768. Its totient is φ = 345876480.

The previous prime is 1664544389. The next prime is 1664544421. The reversal of 1664544420 is 244454661.

1664544420 is a `hidden beast` number, since 1 + 6 + 645 + 4 + 4 + 4 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1664544421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46189 + ... + 73908.

It is an arithmetic number, because the mean of its divisors is an integer number (43715672).

Almost surely, 21664544420 is an apocalyptic number.

1664544420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1664544420 is an abundant number, since it is smaller than the sum of its proper divisors (4630512348).

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

1664544420 is a wasteful number, since it uses less digits than its factorization.

1664544420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120130 (or 120125 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1664544420 is about 40798.8286596564. The cubic root of 1664544420 is about 1185.1276474148.

The spelling of 1664544420 in words is "one billion, six hundred sixty-four million, five hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 120097 240194 360291 480388 600485 720582 840679 1080873 1200970 1321067 1441164 1681358 1801455 2161746 2401940 2522037 2642134 3362716 3602910 3963201 4203395 4323492 5044074 5284268 5404365 6605335 7205820 7566111 7926402 8406790 9247469 10088148 10808730 11889603 12610185 13210670 15132222 15852804 16813580 18494938 19816005 21617460 23779206 25220370 26421340 27742407 30264444 36989876 37830555 39632010 46237345 47558412 50440740 55484814 59448015 75661110 79264020 83227221 92474690 110969628 118896030 138712035 151322220 166454442 184949380 237792060 277424070 332908884 416136105 554848140 832272210 1664544420