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378853345872 = 2432103193132347
BaseRepresentation
bin1011000001101010110…
…10110100101001010000
31100012212221102000222200
411200311122310221100
522201342424031442
6450013130003200
736241224210111
oct5406532645120
91305787360880
10378853345872
11136741923141
1261511276500
1329958529551
141449d8b6208
159cc517d34c
hex58356b4a50

378853345872 has 120 divisors (see below), whose sum is σ = 1076112058944. Its totient is φ = 124409475072.

The previous prime is 378853345847. The next prime is 378853345883. The reversal of 378853345872 is 278543358873.

378853345872 is a `hidden beast` number, since 3 + 7 + 8 + 85 + 33 + 458 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2796403 + ... + 2928749.

Almost surely, 2378853345872 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 378853345872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538056029472).

378853345872 is an abundant number, since it is smaller than the sum of its proper divisors (697258713072).

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

378853345872 is a wasteful number, since it uses less digits than its factorization.

378853345872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132657 (or 132648 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 378853345872 in words is "three hundred seventy-eight billion, eight hundred fifty-three million, three hundred forty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 193 206 309 386 412 579 618 772 824 927 1158 1236 1544 1648 1737 1854 2316 2472 3088 3474 3708 4632 4944 6948 7416 9264 13896 14832 19879 27792 39758 59637 79516 119274 132347 159032 178911 238548 264694 318064 357822 397041 477096 529388 715644 794082 954192 1058776 1191123 1431288 1588164 2117552 2382246 2862576 3176328 4764492 6352656 9528984 13631741 19057968 25542971 27263482 40895223 51085942 54526964 76628913 81790446 102171884 109053928 122685669 153257826 163580892 204343768 218107856 229886739 245371338 306515652 327161784 408687536 459773478 490742676 613031304 654323568 919546956 981485352 1226062608 1839093912 1962970704 2630926013 3678187824 5261852026 7892778039 10523704052 15785556078 21047408104 23678334117 31571112156 42094816208 47356668234 63142224312 94713336468 126284448624 189426672936 378853345872