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202380805872 = 2432734097441
BaseRepresentation
bin1011110001111011010…
…1100000011011110000
3201100101021012011011200
42330132311200123300
511303433441241442
6232550015011200
720423120316000
oct2743665403360
9640337164150
10202380805872
1178913763963
1233280b09b00
131611364744b
149b1c386000
1553e74a834c
hex2f1ed606f0

202380805872 has 120 divisors (see below), whose sum is σ = 660507650400. Its totient is φ = 57823073280.

The previous prime is 202380805853. The next prime is 202380805901. The reversal of 202380805872 is 278508083202.

It is a super-3 number, since 3×2023808058723 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999329 + ... + 2098112.

It is an arithmetic number, because the mean of its divisors is an integer number (5504230420).

Almost surely, 2202380805872 is an apocalyptic number.

It is an amenable number.

202380805872 is an abundant number, since it is smaller than the sum of its proper divisors (458126844528).

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

202380805872 is a wasteful number, since it uses less digits than its factorization.

202380805872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097476 (or 4097453 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 202380805872 in words is "two hundred two billion, three hundred eighty million, eight hundred five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 3087 3528 4116 5488 6174 7056 8232 12348 16464 24696 49392 4097441 8194882 12292323 16389764 24584646 28682087 32779528 36876969 49169292 57364174 65559056 73753938 86046261 98338584 114728348 147507876 172092522 196677168 200774609 229456696 258138783 295015752 344185044 401549218 458913392 516277566 590031504 602323827 688370088 803098436 1032555132 1204647654 1376740176 1405422263 1606196872 1806971481 2065110264 2409295308 2810844526 3212393744 3613942962 4130220528 4216266789 4818590616 5621689052 7227885924 8432533578 9637181232 11243378104 12648800367 14455771848 16865067156 22486756208 25297600734 28911543696 33730134312 50595201468 67460268624 101190402936 202380805872