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54252321120 = 2532541989917
BaseRepresentation
bin110010100001101100…
…001011100101100000
312012000221022110120200
4302201230023211200
51342102043233440
640531223305200
73630265056264
oct624154134540
9165027273520
1054252321120
1121010025928
12a620bab200
135167a3747a
1428a93a60a4
151627d5bc30
hexca1b0b960

54252321120 has 144 divisors (see below), whose sum is σ = 185579961840. Its totient is φ = 14432596992.

The previous prime is 54252321107. The next prime is 54252321143. The reversal of 54252321120 is 2112325245.

54252321120 is a `hidden beast` number, since 5 + 425 + 2 + 3 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558402 + ... + 648318.

It is an arithmetic number, because the mean of its divisors is an integer number (1288749735).

Almost surely, 254252321120 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 54252321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92789980920).

54252321120 is an abundant number, since it is smaller than the sum of its proper divisors (131327640720).

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

54252321120 is a wasteful number, since it uses less digits than its factorization.

54252321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90357 (or 90346 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 54252321120 its reverse (2112325245), we get a palindrome (56364646365).

The spelling of 54252321120 in words is "fifty-four billion, two hundred fifty-two million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 419 480 720 838 1257 1440 1676 2095 2514 3352 3771 4190 5028 6285 6704 7542 8380 10056 12570 13408 15084 16760 18855 20112 25140 30168 33520 37710 40224 50280 60336 67040 75420 89917 100560 120672 150840 179834 201120 269751 301680 359668 449585 539502 603360 719336 809253 899170 1079004 1348755 1438672 1618506 1798340 2158008 2697510 2877344 3237012 3596680 4046265 4316016 5395020 6474024 7193360 8092530 8632032 10790040 12948048 14386720 16185060 21580080 25896096 32370120 37675223 43160160 64740240 75350446 113025669 129480480 150700892 188376115 226051338 301401784 339077007 376752230 452102676 565128345 602803568 678154014 753504460 904205352 1130256690 1205607136 1356308028 1507008920 1695385035 1808410704 2260513380 2712616056 3014017840 3390770070 3616821408 4521026760 5425232112 6028035680 6781540140 9042053520 10850464224 13563080280 18084107040 27126160560 54252321120