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1684196064 = 2535593671
BaseRepresentation
bin110010001100010…
…1100101011100000
311100101010000200000
41210120230223200
511422123233224
6435042100000
756510300415
oct14430545340
94311100600
101684196064
11794759481
123b004a600
1320ac05025
1411d97010c
159ccd10c9
hex6462cae0

1684196064 has 144 divisors (see below), whose sum is σ = 5052378240. Its totient is φ = 551733120.

The previous prime is 1684196057. The next prime is 1684196089. The reversal of 1684196064 is 4606914861.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456949 + ... + 460619.

It is an arithmetic number, because the mean of its divisors is an integer number (35085960).

Almost surely, 21684196064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1684196064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526189120).

1684196064 is an abundant number, since it is smaller than the sum of its proper divisors (3368182176).

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

1684196064 is an equidigital number, since it uses as much as digits as its factorization.

1684196064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1684196064 is about 41038.9578815057. The cubic root of 1684196064 is about 1189.7732929708.

The spelling of 1684196064 in words is "one billion, six hundred eighty-four million, one hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 243 288 324 354 432 472 486 531 648 708 864 944 972 1062 1296 1416 1593 1888 1944 2124 2592 2832 3186 3671 3888 4248 4779 5664 6372 7342 7776 8496 9558 11013 12744 14337 14684 16992 19116 22026 25488 28674 29368 33039 38232 44052 50976 57348 58736 66078 76464 88104 99117 114696 117472 132156 152928 176208 198234 216589 229392 264312 297351 352416 396468 433178 458784 528624 594702 649767 792936 866356 892053 1057248 1189404 1299534 1585872 1732712 1784106 1949301 2378808 2599068 3171744 3465424 3568212 3898602 4757616 5198136 5847903 6930848 7136424 7797204 9515232 10396272 11695806 14272848 15594408 17543709 20792544 23391612 28545696 31188816 35087418 46783224 52631127 62377632 70174836 93566448 105262254 140349672 187132896 210524508 280699344 421049016 561398688 842098032 1684196064