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378806484168 = 233371032432363
BaseRepresentation
bin1011000001100101010…
…00000011110011001000
31100012202200020012211000
411200302220003303020
522201243424443133
6450004333335000
736240114663060
oct5406250036310
91305680205730
10378806484168
11136718426262
12614b9637460
132994b8cc728
14144975983a0
159cc0ec3413
hex5832a03cc8

378806484168 has 128 divisors (see below), whose sum is σ = 1214236108800. Its totient is φ = 107179599168.

The previous prime is 378806484167. The next prime is 378806484169. The reversal of 378806484168 is 861484608873.

378806484168 is a `hidden beast` number, since 3 + 78 + 80 + 6 + 484 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (378806484167) and next prime (378806484169).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (378806484167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1060446 + ... + 1371917.

It is an arithmetic number, because the mean of its divisors is an integer number (9486219600).

Almost surely, 2378806484168 is an apocalyptic number.

It is an amenable number.

378806484168 is an abundant number, since it is smaller than the sum of its proper divisors (835429624632).

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

378806484168 is a wasteful number, since it uses less digits than its factorization.

378806484168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432488 (or 2432478 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 378806484168 in words is "three hundred seventy-eight billion, eight hundred six million, four hundred eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 103 108 126 168 189 206 216 252 309 378 412 504 618 721 756 824 927 1236 1442 1512 1854 2163 2472 2781 2884 3708 4326 5562 5768 6489 7416 8652 11124 12978 17304 19467 22248 25956 38934 51912 77868 155736 2432363 4864726 7297089 9729452 14594178 17026541 19458904 21891267 29188356 34053082 43782534 51079623 58376712 65673801 68106164 87565068 102159246 131347602 136212328 153238869 175130136 204318492 250533389 262695204 306477738 408636984 459716607 501066778 525390408 612955476 751600167 919433214 1002133556 1225910952 1503200334 1753733723 1838866428 2004267112 2254800501 3006400668 3507467446 3677732856 4509601002 5261201169 6012801336 6764401503 7014934892 9019202004 10522402338 13528803006 14029869784 15783603507 18038404008 21044804676 27057606012 31567207014 42089609352 47350810521 54115212024 63134414028 94701621042 126268828056 189403242084 378806484168