Search a number
-
+
544225210020 = 223353727238499
BaseRepresentation
bin1111110101101100101…
…10011010111010100100
31221000201222202011021000
413322312112122322210
532404033123210040
61054002534553300
754214256646612
oct7726626327244
91830658664230
10544225210020
1119a893a41348
1289583b08830
133c4216949bb
141c4aaa0a6b2
15e253529130
hex7eb659aea4

544225210020 has 96 divisors (see below), whose sum is σ = 1738905840000. Its totient is φ = 141204373632.

The previous prime is 544225209967. The next prime is 544225210027. The reversal of 544225210020 is 20012522445.

544225210020 is a `hidden beast` number, since 5 + 4 + 422 + 5 + 210 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (544225210027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13599270 + ... + 13639229.

It is an arithmetic number, because the mean of its divisors is an integer number (18113602500).

Almost surely, 2544225210020 is an apocalyptic number.

It is an amenable number.

544225210020 is an abundant number, since it is smaller than the sum of its proper divisors (1194680629980).

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

544225210020 is a wasteful number, since it uses less digits than its factorization.

544225210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27238554 (or 27238546 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 544225210020 its reverse (20012522445), we get a palindrome (564237732465).

The spelling of 544225210020 in words is "five hundred forty-four billion, two hundred twenty-five million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6660 9990 19980 27238499 54476998 81715497 108953996 136192495 163430994 245146491 272384990 326861988 408577485 490292982 544769980 735439473 817154970 980585964 1007824463 1225732455 1470878946 1634309940 2015648926 2451464910 2941757892 3023473389 3677197365 4031297852 4902929820 5039122315 6046946778 7354394730 9070420167 10078244630 12093893556 14708789460 15117366945 18140840334 20156489260 27211260501 30234733890 36281680668 45352100835 54422521002 60469467780 90704201670 108845042004 136056302505 181408403340 272112605010 544225210020