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13720120554 = 23731149197359
BaseRepresentation
bin11001100011100100…
…00110110011101010
31022102011211100011010
430301302012303222
5211044322324204
610145233444350
7663666046320
oct146162066352
938364740133
1013720120554
115900717708
1227aaa106b6
1313a863733a
1494225dd10
1555479ad89
hex331c86cea

13720120554 has 128 divisors (see below), whose sum is σ = 32845824000. Its totient is φ = 3738551040.

The previous prime is 13720120537. The next prime is 13720120559. The reversal of 13720120554 is 45502102731.

13720120554 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13720120559) 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 63 ways as a sum of consecutive naturals, for example, 38217427 + ... + 38217785.

It is an arithmetic number, because the mean of its divisors is an integer number (256608000).

Almost surely, 213720120554 is an apocalyptic number.

13720120554 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13720120554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422912000).

13720120554 is an abundant number, since it is smaller than the sum of its proper divisors (19125703446).

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

13720120554 is a wasteful number, since it uses less digits than its factorization.

13720120554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748.

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 13720120554 in words is "thirteen billion, seven hundred twenty million, one hundred twenty thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 149 186 197 217 298 359 394 434 447 591 651 718 894 1043 1077 1182 1302 1379 2086 2154 2513 2758 3129 4137 4619 5026 6107 6258 7539 8274 9238 11129 12214 13857 15078 18321 22258 27714 29353 32333 33387 36642 42749 53491 58706 64666 66774 70723 77903 85498 88059 96999 106982 128247 141446 155806 160473 176118 193998 205471 212169 233709 256494 320946 374437 410942 424338 467418 495061 616413 748874 909943 990122 1123311 1232826 1485183 1658221 1819886 2192413 2246622 2729829 2970366 3316442 4384826 4974663 5459658 6369601 6577239 9949326 10537727 11607547 12739202 13154478 15346891 19108803 21075454 23215094 30693782 31613181 34822641 38217606 46040673 63226362 69645282 73764089 92081346 147528178 221292267 326669537 442584534 653339074 980008611 1960017222 2286686759 4573373518 6860060277 13720120554