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1329094656 = 213342003
BaseRepresentation
bin100111100111000…
…0110000000000000
310102121221000010000
41033032012000000
510210222012111
6335515040000
744636055351
oct11716060000
93377830100
101329094656
1162226a53a
12311140000
13182483b56
14c8735d28
157ba3ac56
hex4f386000

1329094656 has 140 divisors (see below), whose sum is σ = 3972615372. Its totient is φ = 442810368.

The previous prime is 1329094639. The next prime is 1329094681. The reversal of 1329094656 is 6564909231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 662551 + ... + 664553.

Almost surely, 21329094656 is an apocalyptic number.

1329094656 is a gapful number since it is divisible by the number (16) 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 1329094656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986307686).

1329094656 is an abundant number, since it is smaller than the sum of its proper divisors (2643520716).

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

1329094656 is an frugal number, since it uses more digits than its factorization.

1329094656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1329094656 is about 36456.7504860211. The cubic root of 1329094656 is about 1099.4748611849.

The spelling of 1329094656 in words is "one billion, three hundred twenty-nine million, ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2003 2048 2304 2592 3072 3456 4006 4096 4608 5184 6009 6144 6912 8012 8192 9216 10368 12018 12288 13824 16024 18027 18432 20736 24036 24576 27648 32048 36054 36864 41472 48072 54081 55296 64096 72108 73728 82944 96144 108162 110592 128192 144216 162243 165888 192288 216324 221184 256384 288432 324486 331776 384576 432648 512768 576864 648972 663552 769152 865296 1025536 1153728 1297944 1538304 1730592 2051072 2307456 2595888 3076608 3461184 4102144 4614912 5191776 6153216 6922368 8204288 9229824 10383552 12306432 13844736 16408576 18459648 20767104 24612864 27689472 36919296 41534208 49225728 55378944 73838592 83068416 110757888 147677184 166136832 221515776 332273664 443031552 664547328 1329094656