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3246641664 = 2937378161
BaseRepresentation
bin1100000110000011…
…1101001000000000
322101021010111002120
43001200331020000
523122120013124
61254054444240
7143311666410
oct30140751000
98337114076
103246641664
11141670aa32
12767363680
133c981c456
1422b28a640
15140062d79
hexc183d200

3246641664 has 160 divisors (see below), whose sum is σ = 10153266816. Its totient is φ = 902430720.

The previous prime is 3246641647. The next prime is 3246641683. The reversal of 3246641664 is 4661466423.

It is a super-4 number, since 4×32466416644 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393744 + ... + 401904.

Almost surely, 23246641664 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 3246641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076633408).

3246641664 is an abundant number, since it is smaller than the sum of its proper divisors (6906625152).

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

3246641664 is an equidigital number, since it uses as much as digits as its factorization.

3246641664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8226 (or 8210 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 3246641664 is about 56979.3090867202. The cubic root of 3246641664 is about 1480.7376503029.

The spelling of 3246641664 in words is "three billion, two hundred forty-six million, six hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 512 518 592 672 768 777 888 896 1036 1184 1344 1536 1554 1776 1792 2072 2368 2688 3108 3552 3584 4144 4736 5376 6216 7104 8161 8288 9472 10752 12432 14208 16322 16576 18944 24483 24864 28416 32644 33152 48966 49728 56832 57127 65288 66304 97932 99456 114254 130576 132608 171381 195864 198912 228508 261152 301957 342762 391728 397824 457016 522304 603914 685524 783456 905871 914032 1044608 1207828 1371048 1566912 1811742 1828064 2089216 2113699 2415656 2742096 3133824 3623484 3656128 4178432 4227398 4831312 5484192 6267648 6341097 7246968 7312256 8454796 9662624 10968384 12535296 12682194 14493936 14624512 16909592 19325248 21936768 25364388 28987872 29249024 33819184 38650496 43873536 50728776 57975744 67638368 77300992 87747072 101457552 115951488 135276736 154601984 202915104 231902976 270553472 405830208 463805952 541106944 811660416 1082213888 1623320832 3246641664