Search a number
-
+
54225144155112 = 23373113933747283
BaseRepresentation
bin11000101010001010001100…
…11101001000101111101000
321002222212120112022002000120
430111011012131020233220
524101411043400430422
6311154404244003240
714264431423240020
oct1425050635105750
9232885515262016
1054225144155112
1116306833257837
1260b9243090520
132434541ba7768
14d567221b8a80
156407c173945c
hex315146748be8

54225144155112 has 128 divisors (see below), whose sum is σ = 159938384732160. Its totient is φ = 14992031266560.

The previous prime is 54225144155107. The next prime is 54225144155131. The reversal of 54225144155112 is 21155144152245.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 72189423 + ... + 72936705.

It is an arithmetic number, because the mean of its divisors is an integer number (1249518630720).

Almost surely, 254225144155112 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 54225144155112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79969192366080).

54225144155112 is an abundant number, since it is smaller than the sum of its proper divisors (105713240577048).

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

54225144155112 is a wasteful number, since it uses less digits than its factorization.

54225144155112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761263 (or 761259 counting only the distinct ones).

The product of its digits is 320000, while the sum is 42.

The spelling of 54225144155112 in words is "fifty-four trillion, two hundred twenty-five billion, one hundred forty-four million, one hundred fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 13933 27866 41799 55732 83598 97531 111464 167196 195062 292593 334392 390124 431923 585186 747283 780248 863846 1170372 1295769 1494566 1727692 2241849 2340744 2591538 2989132 3023461 3455384 4483698 5183076 5230981 5978264 6046922 8967396 9070383 10366152 10461962 12093844 15692943 17934792 18140766 20923924 23165773 24187688 31385886 36281532 41847848 46331546 62771772 69497319 72563064 92663092 125543544 138994638 162160411 185326184 277989276 324320822 486481233 555978552 648641644 972962466 1297283288 1945924932 3891849864 10411894039 20823788078 31235682117 41647576156 62471364234 72883258273 83295152312 124942728468 145766516546 218649774819 249885456936 291533033092 322768715209 437299549638 583066066184 645537430418 874599099276 968306145627 1291074860836 1749198198552 1936612291254 2259381006463 2582149721672 3873224582508 4518762012926 6778143019389 7746449165016 9037524025852 13556286038778 18075048051704 27112572077556 54225144155112