Search a number
-
+
22408990995744 = 253475071151651
BaseRepresentation
bin1010001100001011111111…
…11100101011010100100000
32221100021112010000122010000
411012011333330223110200
510414122103143330434
6115354314235340000
74501665454440363
oct506057774532440
987307463018100
1022408990995744
11715a666241411
12261b0198b1600
13c6720ab03162
1457685b0200da
1528cd98c5ab99
hex14617ff2b520

22408990995744 has 120 divisors (see below), whose sum is σ = 65913056315568. Its totient is φ = 7468662153600.

The previous prime is 22408990995709. The next prime is 22408990995757. The reversal of 22408990995744 is 44759909980422.

22408990995744 is a `hidden beast` number, since 2 + 2 + 40 + 8 + 9 + 9 + 0 + 9 + 9 + 574 + 4 = 666.

It is a super-2 number, since 2×224089909957442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18882319 + ... + 20033969.

Almost surely, 222408990995744 is an apocalyptic number.

22408990995744 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 22408990995744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32956528157784).

22408990995744 is an abundant number, since it is smaller than the sum of its proper divisors (43504065319824).

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

22408990995744 is a wasteful number, since it uses less digits than its factorization.

22408990995744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159180 (or 1159163 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 22408990995744 in words is "twenty-two trillion, four hundred eight billion, nine hundred ninety million, nine hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 7507 15014 22521 30028 45042 60056 67563 90084 120112 135126 180168 202689 240224 270252 360336 405378 540504 608067 720672 810756 1081008 1151651 1216134 1621512 2162016 2303302 2432268 3243024 3454953 4606604 4864536 6486048 6909906 9213208 9729072 10364859 13819812 18426416 19458144 20729718 27639624 31094577 36852832 41459436 55279248 62189154 82918872 93283731 110558496 124378308 165837744 186567462 248756616 331675488 373134924 497513232 746269848 995026464 1492539696 2985079392 8645444057 17290888114 25936332171 34581776228 51872664342 69163552456 77808996513 103745328684 138327104912 155617993026 207490657368 233426989539 276654209824 311235986052 414981314736 466853979078 622471972104 700280968617 829962629472 933707958156 1244943944208 1400561937234 1867415916312 2489887888416 2801123874468 3734831832624 5602247748936 7469663665248 11204495497872 22408990995744