Search a number
-
+
378248269056 = 2837611153421
BaseRepresentation
bin1011000000100010101…
…10101000110100000000
31100011022202211221122020
411200101112220310000
522144123024102211
6445433113041440
736220226144550
oct5402126506400
91304282757566
10378248269056
11136461317a59
12613826b6280
1329890073c28
14144433ab160
159c8beab306
hex58115a8d00

378248269056 has 144 divisors (see below), whose sum is σ = 1169366905728. Its totient is φ = 106299187200.

The previous prime is 378248269033. The next prime is 378248269093. The reversal of 378248269056 is 650962842873.

It is a super-2 number, since 2×3782482690562 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248775 + ... + 904646.

It is an arithmetic number, because the mean of its divisors is an integer number (8120603512).

Almost surely, 2378248269056 is an apocalyptic number.

It is an amenable number.

378248269056 is an abundant number, since it is smaller than the sum of its proper divisors (791118636672).

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

378248269056 is a wasteful number, since it uses less digits than its factorization.

378248269056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153508 (or 1153494 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 378248269056 in words is "three hundred seventy-eight billion, two hundred forty-eight million, two hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 672 732 768 854 896 976 1281 1344 1464 1708 1792 1952 2562 2688 2928 3416 3904 5124 5376 5856 6832 7808 10248 11712 13664 15616 20496 23424 27328 40992 46848 54656 81984 109312 163968 327936 1153421 2306842 3460263 4613684 6920526 8073947 9227368 13841052 16147894 18454736 24221841 27682104 32295788 36909472 48443682 55364208 64591576 70358681 73818944 96887364 110728416 129183152 140717362 147637888 193774728 211076043 221456832 258366304 281434724 295275776 387549456 422152086 442913664 492510767 516732608 562869448 775098912 844304172 885827328 985021534 1033465216 1125738896 1477532301 1550197824 1688608344 1970043068 2066930432 2251477792 2955064602 3100395648 3377216688 3940086136 4502955584 5910129204 6200791296 6754433376 7880172272 9005911168 11820258408 13508866752 15760344544 18011822336 23640516816 27017733504 31520689088 47281033632 54035467008 63041378176 94562067264 126082756352 189124134528 378248269056