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54455331200 = 275236974603
BaseRepresentation
bin110010101101110010…
…100110100110000000
312012120002022110001112
4302231302212212000
51343011031044300
641003314422452
73635311451354
oct625562464600
9165502273045
1054455331200
1121104684356
12a678b91a28
13519ab0688a
1428c832d464
15163aaace35
hexcadca6980

54455331200 has 96 divisors (see below), whose sum is σ = 134587304760. Its totient is φ = 21771509760.

The previous prime is 54455331173. The next prime is 54455331211. The reversal of 54455331200 is 213355445.

It is a happy number.

It is a super-2 number, since 2×544553312002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11828099 + ... + 11832701.

Almost surely, 254455331200 is an apocalyptic number.

54455331200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54455331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67293652380).

54455331200 is an abundant number, since it is smaller than the sum of its proper divisors (80131973560).

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

54455331200 is a wasteful number, since it uses less digits than its factorization.

54455331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

Adding to 54455331200 its reverse (213355445), we get a palindrome (54668686645).

The spelling of 54455331200 in words is "fifty-four billion, four hundred fifty-five million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 3697 4603 7394 9206 14788 18412 18485 23015 29576 36824 36970 46030 59152 73648 73940 92060 92425 115075 118304 147296 147880 184120 184850 230150 236608 294592 295760 368240 369700 460300 473216 589184 591520 736480 739400 920600 1183040 1472960 1478800 1841200 2366080 2945920 2957600 3682400 5915200 7364800 11830400 14729600 17017291 34034582 68069164 85086455 136138328 170172910 272276656 340345820 425432275 544553312 680691640 850864550 1089106624 1361383280 1701729100 2178213248 2722766560 3403458200 5445533120 6806916400 10891066240 13613832800 27227665600 54455331200