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21814122952112 = 24311091414928517
BaseRepresentation
bin1001111010110111111110…
…00011001011010110110000
32212020102001201211222021212
410331123333003023112300
510324400310433431422
6114221134132535252
74411006205466311
oct475337703132660
985212051758255
1021814122952112
116a50354793677
122543881781528
13c230a845662a
14555b4858a608
1527c67e70c9e2
hex13d6ff0cb5b0

21814122952112 has 80 divisors (see below), whose sum is σ = 44033160864000. Its totient is φ = 10457278018560.

The previous prime is 21814122952009. The next prime is 21814122952117. The reversal of 21814122952112 is 21125922141812.

It is a self number, because there is not a number n which added to its sum of digits gives 21814122952112.

It is not an unprimeable number, because it can be changed into a prime (21814122952117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764937278 + ... + 764965794.

It is an arithmetic number, because the mean of its divisors is an integer number (550414510800).

Almost surely, 221814122952112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21814122952112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22016580432000).

21814122952112 is an abundant number, since it is smaller than the sum of its proper divisors (22219037911888).

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

21814122952112 is a wasteful number, since it uses less digits than its factorization.

21814122952112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42814 (or 42808 counting only the distinct ones).

The product of its digits is 46080, while the sum is 41.

The spelling of 21814122952112 in words is "twenty-one trillion, eight hundred fourteen billion, one hundred twenty-two million, nine hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 109 124 218 248 436 496 872 1744 3379 6758 13516 14149 27032 28298 28517 54064 56596 57034 113192 114068 226384 228136 438619 456272 877238 884027 1542241 1754476 1768054 3084482 3108353 3508952 3536108 6168964 6216706 7017904 7072216 12337928 12433412 14144432 24675856 24866824 47809471 49733648 95618942 96358943 191237884 192717886 382475768 385435772 403487033 764951536 770871544 806974066 1541743088 1613948132 3227896264 6455792528 12508098023 25016196046 43980086597 50032392092 87960173194 100064784184 175920346388 200129568368 351840692776 703681385552 1363382684507 2726765369014 5453530738028 10907061476056 21814122952112