Search a number
-
+
21497340721944 = 23317139421190017
BaseRepresentation
bin1001110001101001111010…
…10110110111101100011000
32211010010101122012022200110
410320310331112313230120
510304203023211100234
6113415424134204320
74346063100120123
oct470647526675430
984103348168613
1021497340721944
116938a7544846a
1224b23b3ab36a0
13bcc2627a0c19
145446966553ba
152742dda411e9
hex138d3d5b7b18

21497340721944 has 128 divisors (see below), whose sum is σ = 57328359379200. Its totient is φ = 6694079447040.

The previous prime is 21497340721873. The next prime is 21497340721979. The reversal of 21497340721944 is 44912704379412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238769224 + ... + 238859240.

It is an arithmetic number, because the mean of its divisors is an integer number (447877807650).

Almost surely, 221497340721944 is an apocalyptic number.

21497340721944 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 21497340721944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28664179689600).

21497340721944 is an abundant number, since it is smaller than the sum of its proper divisors (35831018657256).

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

21497340721944 is a wasteful number, since it uses less digits than its factorization.

21497340721944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94393 (or 94389 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 21497340721944 in words is "twenty-one trillion, four hundred ninety-seven billion, three hundred forty million, seven hundred twenty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 139 204 278 408 417 556 834 1112 1668 2363 3336 4211 4726 7089 8422 9452 12633 14178 16844 18904 25266 28356 33688 50532 56712 71587 90017 101064 143174 180034 214761 270051 286348 360068 429522 540102 572696 585329 720136 859044 1080204 1170658 1530289 1718088 1755987 2160408 2341316 3060578 3511974 4590867 4682632 6121156 7023948 9181734 9950593 12242312 12512363 14047896 18363468 19901186 25024726 29851779 36726936 37537089 39802372 50049452 59703558 75074178 79604744 100098904 119407116 150148356 212710171 238814232 300296712 379061587 425420342 638130513 758123174 850840684 1137184761 1276261026 1516246348 1701681368 2274369522 2552522052 3032492696 4548739044 5105044104 6444046979 9097478088 12888093958 19332140937 25776187916 38664281874 51552375832 52689560593 77328563748 105379121186 154657127496 158068681779 210758242372 316137363558 421516484744 632274727116 895722530081 1264549454232 1791445060162 2687167590243 3582890120324 5374335180486 7165780240648 10748670360972 21497340721944