Search a number
-
+
2121008621148 = 22321936773311527
BaseRepresentation
bin11110110111010101111…
…101110010011001011100
321111202200201220201120100
4132313111331302121130
5234222311201334043
64302213343421100
7306144366545634
oct36672575623134
97452621821510
102121008621148
117485730879aa
122a30955b4790
131250196b6991
147492bb496c4
153a28b7b8cd3
hex1edd5f7265c

2121008621148 has 144 divisors (see below), whose sum is σ = 5667209067520. Its totient is φ = 666998001792.

The previous prime is 2121008621089. The next prime is 2121008621203. The reversal of 2121008621148 is 8411268001212.

2121008621148 is a `hidden beast` number, since 2 + 1 + 2 + 10 + 0 + 8 + 621 + 14 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183997761 + ... + 184009287.

Almost surely, 22121008621148 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 2121008621148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833604533760).

2121008621148 is an abundant number, since it is smaller than the sum of its proper divisors (3546200446372).

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

2121008621148 is a wasteful number, since it uses less digits than its factorization.

2121008621148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12656 (or 12651 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 2121008621148 in words is "two trillion, one hundred twenty-one billion, eight million, six hundred twenty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 367 684 733 734 1101 1466 1468 2199 2202 2932 3303 4398 4404 6597 6606 6973 8796 11527 13194 13212 13927 13946 20919 23054 26388 27854 27892 34581 41781 41838 46108 55708 62757 69162 83562 83676 103743 125343 125514 138324 167124 207486 219013 250686 251028 269011 414972 438026 501372 538022 657039 807033 876052 1076044 1314078 1614066 1971117 2421099 2628156 3228132 3942234 4230409 4842198 5111209 7884468 8449291 8460818 9684396 10222418 12691227 15333627 16898582 16921636 20444836 25347873 25382454 30667254 33797164 38073681 46000881 50695746 50764908 61334508 76043619 76147362 80377771 92001762 101391492 152087238 152294724 160536529 160755542 184003524 241133313 304174476 321073058 321511084 481609587 482266626 642146116 723399939 963219174 964533252 1444828761 1446799878 1926438348 2889657522 2893599756 3100889797 5779315044 6201779594 9302669391 12403559188 18605338782 27908008173 37210677564 55816016346 58916906143 111632032692 117833812286 176750718429 235667624572 353501436858 530252155287 707002873716 1060504310574 2121008621148