Search a number
-
+
21955921903104 = 29376730478081
BaseRepresentation
bin1001111111000000000101…
…11011001111111000000000
32212201222001221121000212120
410333200002323033320000
510334211212001344404
6114410224500324240
74424156132623560
oct477400273177000
985658057530776
1021955921903104
116aa54aa585272
1225672559a3680
13c3358592c067
1455c95aa9ada0
152811cd32b9d9
hex13f802ecfe00

21955921903104 has 160 divisors (see below), whose sum is σ = 67845673479936. Its totient is φ = 6179491676160.

The previous prime is 21955921903039. The next prime is 21955921903117. The reversal of 21955921903104 is 40130912955912.

It is a happy number.

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, 14518657 + ... + 15959424.

Almost surely, 221955921903104 is an apocalyptic number.

21955921903104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21955921903104 is an abundant number, since it is smaller than the sum of its proper divisors (45889751576832).

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

21955921903104 is an equidigital number, since it uses as much as digits as its factorization.

21955921903104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30478176 (or 30478160 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 51.

The spelling of 21955921903104 in words is "twenty-one trillion, nine hundred fifty-five billion, nine hundred twenty-one million, nine hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 256 268 336 384 402 448 469 512 536 672 768 804 896 938 1072 1344 1407 1536 1608 1792 1876 2144 2688 2814 3216 3584 3752 4288 5376 5628 6432 7504 8576 10752 11256 12864 15008 17152 22512 25728 30016 34304 45024 51456 60032 90048 102912 120064 180096 240128 360192 720384 30478081 60956162 91434243 121912324 182868486 213346567 243824648 365736972 426693134 487649296 640039701 731473944 853386268 975298592 1280079402 1462947888 1706772536 1950597184 2042031427 2560158804 2925895776 3413545072 3901194368 4084062854 5120317608 5851791552 6126094281 6827090144 7802388736 8168125708 10240635216 11703583104 12252188562 13654180288 14294219989 15604777472 16336251416 20481270432 23407166208 24504377124 27308360576 28588439978 32672502832 40962540864 42882659967 46814332416 49008754248 54616721152 57176879956 65345005664 81925081728 85765319934 98017508496 109233442304 114353759912 130690011328 163850163456 171530639868 196035016992 228707519824 261380022656 327700326912 343061279736 392070033984 457415039648 522760045312 686122559472 784140067968 914830079296 1045520090624 1372245118944 1568280135936 1829660158592 2744490237888 3136560271872 3659320317184 5488980475776 7318640634368 10977960951552 21955921903104