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204572132076 = 2231317229333641
BaseRepresentation
bin1011111010000101110…
…0110000001011101100
3201120000222120001121110
42332201130300023230
511322430431211301
6233551254432020
720531326301064
oct2764134601354
9646028501543
10204572132076
11798386a9754
1233792962610
13163a262ca80
149c894063a4
1554c4a600d6
hex2fa17302ec

204572132076 has 96 divisors (see below), whose sum is σ = 544545021888. Its totient is φ = 59215011840.

The previous prime is 204572132057. The next prime is 204572132087. The reversal of 204572132076 is 670231275402.

204572132076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6064216 + ... + 6097856.

It is an arithmetic number, because the mean of its divisors is an integer number (5672343978).

Almost surely, 2204572132076 is an apocalyptic number.

204572132076 is a gapful number since it is divisible by the number (26) 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 204572132076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272272510944).

204572132076 is an abundant number, since it is smaller than the sum of its proper divisors (339972889812).

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

204572132076 is a wasteful number, since it uses less digits than its factorization.

204572132076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35971 (or 35969 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 204572132076 in words is "two hundred four billion, five hundred seventy-two million, one hundred thirty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2293 2652 4586 6879 9172 13758 27516 29809 33641 38981 59618 67282 77962 89427 100923 116943 119236 134564 155924 178854 201846 233886 357708 403692 437333 467772 506753 571897 874666 1013506 1143794 1311999 1520259 1715691 1749332 2027012 2287588 2623998 3040518 3431382 5247996 6081036 6862764 7434661 14869322 22303983 29738644 44607966 77138813 89215932 154277626 231416439 308555252 462832878 925665756 1002804569 1311359821 2005609138 2622719642 3008413707 3934079463 4011218276 5245439284 6016827414 7868158926 12033654828 15736317852 17047677673 34095355346 51143033019 68190710692 102286066038 204572132076