Search a number
-
+
16921808006456 = 231719127118743441
BaseRepresentation
bin1111011000111110101001…
…0110101110110100111000
32012220201010220011101210202
43312033222112232310320
54204221330322201311
655553434332501332
73364363114544663
oct366175226566470
965821126141722
1016921808006456
1154345535182a1
121a9368731a848
139599480b3442
1442703c7886da
151e5295c5de3b
hexf63ea5aed38

16921808006456 has 128 divisors (see below), whose sum is σ = 35672207155200. Its totient is φ = 7478207815680.

The previous prime is 16921808006359. The next prime is 16921808006459. The reversal of 16921808006456 is 65460080812961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16921808006459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389513696 + ... + 389557136.

It is an arithmetic number, because the mean of its divisors is an integer number (278689118400).

Almost surely, 216921808006456 is an apocalyptic number.

It is an amenable number.

16921808006456 is an abundant number, since it is smaller than the sum of its proper divisors (18750399148744).

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

16921808006456 is a wasteful number, since it uses less digits than its factorization.

16921808006456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44797 (or 44793 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 56.

The spelling of 16921808006456 in words is "sixteen trillion, nine hundred twenty-one billion, eight hundred eight million, six thousand, four hundred fifty-six".

Divisors: 1 2 4 8 17 19 34 38 68 76 127 136 152 254 323 508 646 1016 1187 1292 2159 2374 2413 2584 4318 4748 4826 8636 9496 9652 17272 19304 20179 22553 40358 41021 43441 45106 80716 82042 86882 90212 150749 161432 164084 173764 180424 301498 328168 347528 383401 602996 738497 766802 825379 1205992 1476994 1533604 1650758 2562733 2864231 2953988 3067208 3301516 5125466 5517007 5728462 5907976 6603032 10250932 11034014 11456924 14031443 20501864 22068028 22913848 28062886 44136056 48691927 51564467 56125772 93789119 97383854 103128934 104823133 112251544 187578238 194767708 206257868 209646266 375156476 389535416 412515736 419292532 750312952 838585064 876595939 979724873 1753191878 1781993261 1959449746 3506383756 3563986522 3918899492 6548687309 7012767512 7127973044 7837798984 13097374618 14255946088 16655322841 26194749236 33310645682 52389498472 66621291364 111327684253 124425058871 133242582728 222655368506 248850117742 445310737012 497700235484 890621474024 995400470968 2115226000807 4230452001614 8460904003228 16921808006456