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204346054000 = 24531157116267
BaseRepresentation
bin1011111001001111111…
…0010101010101110000
3201112110020011002210101
42332103332111111300
511322000042212000
6233513021042144
720522612541244
oct2762376252560
9645406132711
10204346054000
1179732024970
123372b0b6354
131636784496a
149c67396424
1554aeca3e6a
hex2f93f95570

204346054000 has 160 divisors (see below), whose sum is σ = 540004937472. Its totient is φ = 74172960000.

The previous prime is 204346053973. The next prime is 204346054039. The reversal of 204346054000 is 450643402.

It is a self number, because there is not a number n which added to its sum of digits gives 204346054000.

It is a congruent number.

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, 12553867 + ... + 12570133.

Almost surely, 2204346054000 is an apocalyptic number.

204346054000 is a gapful number since it is divisible by the number (20) 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 204346054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270002468736).

204346054000 is an abundant number, since it is smaller than the sum of its proper divisors (335658883472).

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

204346054000 is a wasteful number, since it uses less digits than its factorization.

204346054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16872 (or 16856 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 204346054000 its reverse (450643402), we get a palindrome (204796697402).

The spelling of 204346054000 in words is "two hundred four billion, three hundred forty-six million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 571 880 1000 1100 1142 1375 2000 2200 2284 2750 2855 4400 4568 5500 5710 6281 9136 11000 11420 12562 14275 16267 22000 22840 25124 28550 31405 32534 45680 50248 57100 62810 65068 71375 81335 100496 114200 125620 130136 142750 157025 162670 178937 228400 251240 260272 285500 314050 325340 357874 406675 502480 571000 628100 650680 715748 785125 813350 894685 1142000 1256200 1301360 1431496 1570250 1626700 1789370 2033375 2512400 2862992 3140500 3253400 3578740 4066750 4473425 6281000 6506800 7157480 8133500 8946850 9288457 12562000 14314960 16267000 17893700 18576914 22367125 32534000 35787400 37153828 44734250 46442285 71574800 74307656 89468500 92884570 102173027 148615312 178937000 185769140 204346054 232211425 357874000 371538280 408692108 464422850 510865135 743076560 817384216 928845700 1021730270 1161057125 1634768432 1857691400 2043460540 2322114250 2554325675 3715382800 4086921080 4644228500 5108651350 8173842160 9288457000 10217302700 12771628375 18576914000 20434605400 25543256750 40869210800 51086513500 102173027000 204346054000