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200526132144 = 2431317154312251
BaseRepresentation
bin1011101011000001001…
…0011111001110110000
3201011121000021222010010
42322300102133032300
511241134142212034
6232042002534520
720326136666652
oct2726022371660
9634530258103
10200526132144
1178051857058
1232a43967440
1315ba9323880
1499c3d1a6d2
1553397503e9
hex2eb049f3b0

200526132144 has 160 divisors (see below), whose sum is σ = 591121165824. Its totient is φ = 58028544000.

The previous prime is 200526132139. The next prime is 200526132181. The reversal of 200526132144 is 441231625002.

200526132144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 16362019 + ... + 16374269.

Almost surely, 2200526132144 is an apocalyptic number.

200526132144 is a gapful number since it is divisible by the number (24) 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 200526132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295560582912).

200526132144 is an abundant number, since it is smaller than the sum of its proper divisors (390595033680).

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

200526132144 is a wasteful number, since it uses less digits than its factorization.

200526132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13835 (or 13829 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 200526132144 its reverse (441231625002), we get a palindrome (641757757146).

The spelling of 200526132144 in words is "two hundred billion, five hundred twenty-six million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1543 1768 2652 3086 3536 4629 5304 6172 9258 10608 12251 12344 18516 20059 24502 24688 26231 36753 37032 40118 49004 52462 60177 73506 74064 78693 80236 98008 104924 120354 147012 157386 159263 160472 196016 208267 209848 240708 294024 314772 318526 320944 341003 416534 419696 477789 481416 588048 624801 629544 637052 682006 833068 955578 962832 1023009 1249602 1259088 1274104 1364012 1666136 1911156 2046018 2499204 2548208 2707471 2728024 3332272 3822312 4092036 4998408 5414942 5456048 7644624 8122413 8184072 9996816 10829884 16244826 16368144 18903293 21659768 32489652 37806586 43319536 56709879 64979304 75613172 113419758 129958608 151226344 226839516 245742809 302452688 321355981 453679032 491485618 642711962 737228427 907358064 964067943 982971236 1285423924 1474456854 1928135886 1965942472 2570847848 2948913708 3856271772 3931884944 4177627753 5141695696 5897827416 7712543544 8355255506 11795654832 12532883259 15425087088 16710511012 25065766518 33421022024 50131533036 66842044048 100263066072 200526132144