Search a number
-
+
12720164320 = 2551730715233
BaseRepresentation
bin10111101100010111…
…00100110111100000
31012211111020022002001
423312023210313200
5202022330224240
65502113133344
7630134420113
oct136613446740
935744208061
1012720164320
1154382237a6
12256bb5a254
131279414066
1488952457a
154e6ac789a
hex2f62e4de0

12720164320 has 96 divisors (see below), whose sum is σ = 31924857888. Its totient is φ = 4772855808.

The previous prime is 12720164299. The next prime is 12720164341. The reversal of 12720164320 is 2346102721.

It is an interprime number because it is at equal distance from previous prime (12720164299) and next prime (12720164341).

It is a congruent number.

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, 827424 + ... + 842656.

It is an arithmetic number, because the mean of its divisors is an integer number (332550603).

Almost surely, 212720164320 is an apocalyptic number.

12720164320 is a gapful number since it is divisible by the number (10) 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 12720164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15962428944).

12720164320 is an abundant number, since it is smaller than the sum of its proper divisors (19204693568).

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

12720164320 is a wasteful number, since it uses less digits than its factorization.

12720164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15572 (or 15564 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 12720164320 in words is "twelve billion, seven hundred twenty million, one hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 307 340 544 614 680 1228 1360 1535 2456 2720 3070 4912 5219 6140 9824 10438 12280 15233 20876 24560 26095 30466 41752 49120 52190 60932 76165 83504 104380 121864 152330 167008 208760 243728 258961 304660 417520 487456 517922 609320 835040 1035844 1218640 1294805 2071688 2437280 2589610 4143376 4676531 5179220 8286752 9353062 10358440 18706124 20716880 23382655 37412248 41433760 46765310 74824496 79501027 93530620 149648992 159002054 187061240 318004108 374122480 397505135 636008216 748244960 795010270 1272016432 1590020540 2544032864 3180041080 6360082160 12720164320