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204328578432 = 27311101478943
BaseRepresentation
bin1011111001001011101…
…1101010110110000000
3201112102000021020211010
42332102323222312000
511321431104002212
6233511154320520
720522311155126
oct2762273526600
9645360236733
10204328578432
1179723179250
1233725289140
13163640365a4
149c64d27916
1554ad4a103c
hex2f92eead80

204328578432 has 128 divisors (see below), whose sum is σ = 597952005120. Its totient is φ = 61304576000.

The previous prime is 204328578427. The next prime is 204328578439. The reversal of 204328578432 is 234875823402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204328578439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187153 + ... + 666095.

It is an arithmetic number, because the mean of its divisors is an integer number (4671500040).

Almost surely, 2204328578432 is an apocalyptic number.

204328578432 is a gapful number since it is divisible by the number (22) 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 204328578432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298976002560).

204328578432 is an abundant number, since it is smaller than the sum of its proper divisors (393623426688).

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

204328578432 is a wasteful number, since it uses less digits than its factorization.

204328578432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479072 (or 479060 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 204328578432 in words is "two hundred four billion, three hundred twenty-eight million, five hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 128 132 176 192 202 264 303 352 384 404 528 606 704 808 1056 1111 1212 1408 1616 2112 2222 2424 3232 3333 4224 4444 4848 6464 6666 8888 9696 12928 13332 17776 19392 26664 35552 38784 53328 71104 106656 142208 213312 426624 478943 957886 1436829 1915772 2873658 3831544 5268373 5747316 7663088 10536746 11494632 15326176 15805119 21073492 22989264 30652352 31610238 42146984 45978528 48373243 61304704 63220476 84293968 91957056 96746486 126440952 145119729 168587936 183914112 193492972 252881904 290239458 337175872 386985944 505763808 532105673 580478916 674351744 773971888 1011527616 1064211346 1160957832 1547943776 1596317019 2023055232 2128422692 2321915664 3095887552 3192634038 4256845384 4643831328 6191775104 6385268076 8513690768 9287662656 12770536152 17027381536 18575325312 25541072304 34054763072 51082144608 68109526144 102164289216 204328578432