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200329474048 = 212112715693
BaseRepresentation
bin1011101010010010010…
…0010011000000000000
3201011002022020200220221
42322210210103000000
511240233321132143
6232010255512424
720321231301514
oct2724444230000
9634068220827
10200329474048
1177a60846a00
12329a9b28714
1315b77669732
1499a5b68144
1553273562ed
hex2ea4913000

200329474048 has 156 divisors (see below), whose sum is σ = 446620369104. Its totient is φ = 89760563200.

The previous prime is 200329473979. The next prime is 200329474049. The reversal of 200329474048 is 840474923002.

It is a junction number, because it is equal to n+sod(n) for n = 200329473995 and 200329474013.

It is not an unprimeable number, because it can be changed into a prime (200329474049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35185890 + ... + 35191582.

It is an arithmetic number, because the mean of its divisors is an integer number (2862951084).

Almost surely, 2200329474048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200329474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223310184552).

200329474048 is an abundant number, since it is smaller than the sum of its proper divisors (246290895056).

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

200329474048 is an equidigital number, since it uses as much as digits as its factorization.

200329474048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 200329474048 in words is "two hundred billion, three hundred twenty-nine million, four hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 121 128 142 176 242 256 284 352 484 512 568 704 781 968 1024 1136 1408 1562 1936 2048 2272 2816 3124 3872 4096 4544 5632 5693 6248 7744 8591 9088 11264 11386 12496 15488 17182 18176 22528 22772 24992 30976 34364 36352 45056 45544 49984 61952 62623 68728 72704 91088 99968 123904 125246 137456 145408 182176 199936 247808 250492 274912 290816 364352 399872 404203 495616 500984 549824 688853 728704 799744 808406 1001968 1099648 1377706 1457408 1599488 1616812 2003936 2199296 2755412 2914816 3198976 3233624 4007872 4398592 4446233 5510824 5829632 6467248 8015744 8797184 8892466 11021648 11659264 12934496 16031488 17594368 17784932 22043296 23318528 25868992 32062976 35188736 35569864 44086592 48908563 51737984 64125952 71139728 88173184 97817126 103475968 128251904 142279456 176346368 195634252 206951936 256503808 284558912 352692736 391268504 413903872 569117824 705385472 782537008 827807744 1138235648 1410770944 1565074016 1655615488 2276471296 2821541888 3130148032 4552942592 6260296064 9105885184 12520592128 18211770368 25041184256 50082368512 100164737024 200329474048