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2088328926024 = 23321121491608773
BaseRepresentation
bin11110011000111010000…
…110101001001101001000
321101122100020022012112200
4132120322012221031020
5233203344201113044
64235210504240200
7303606510662565
oct36307206511510
97348306265480
102088328926024
11735723266300
12298895170060
13121c0c0c7283
147310b87586c
15394c77bb369
hex1e63a1a9348

2088328926024 has 144 divisors (see below), whose sum is σ = 6258533053500. Its totient is φ = 628579395840.

The previous prime is 2088328925999. The next prime is 2088328926029. The reversal of 2088328926024 is 4206298238802.

2088328926024 is a `hidden beast` number, since 2 + 0 + 8 + 8 + 3 + 28 + 9 + 2 + 602 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2076798032100 + 11530893924 = 1441110^2 + 107382^2 .

It is a super-2 number, since 2×20883289260242 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2088328926029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 493702 + ... + 2102474.

Almost surely, 22088328926024 is an apocalyptic number.

2088328926024 is a gapful number since it is divisible by the number (24) 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 2088328926024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129266526750).

2088328926024 is an abundant number, since it is smaller than the sum of its proper divisors (4170204127476).

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

2088328926024 is a wasteful number, since it uses less digits than its factorization.

2088328926024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608956 (or 1608938 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2088328926024 in words is "two trillion, eighty-eight billion, three hundred twenty-eight million, nine hundred twenty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 149 198 242 264 298 363 396 447 484 596 726 792 894 968 1089 1192 1341 1452 1639 1788 2178 2682 2904 3278 3576 4356 4917 5364 6556 8712 9834 10728 13112 14751 18029 19668 29502 36058 39336 54087 59004 72116 108174 118008 144232 162261 216348 324522 432696 649044 1298088 1608773 3217546 4826319 6435092 9652638 12870184 14478957 17696503 19305276 28957914 35393006 38610552 53089509 57915828 70786012 106179018 115831656 141572024 159268527 194661533 212358036 239707177 318537054 389323066 424716072 479414354 583984599 637074108 719121531 778646132 958828708 1167969198 1274148216 1438243062 1557292264 1751953797 1917657416 2157364593 2335938396 2636778947 2876486124 3503907594 4314729186 4671876792 5273557894 5752972248 7007815188 7910336841 8629458372 10547115788 14015630376 15820673682 17258916744 21094231576 23731010523 29004568417 31641347364 47462021046 58009136834 63282694728 87013705251 94924042092 116018273668 174027410502 189848084184 232036547336 261041115753 348054821004 522082231506 696109642008 1044164463012 2088328926024