Search a number
-
+
3067993919232 = 28331140351351
BaseRepresentation
bin101100101001010010101…
…100000000111100000000
3101212022000202211020212000
4230221102230000330000
5400231222420403412
610305230021104000
7434440515014544
oct54512254007400
911768022736760
103067993919232
11a83146648660
12416720b58000
131934064814c8
14a86c530da24
1554c13b904dc
hex2ca52b00f00

3067993919232 has 144 divisors (see below), whose sum is σ = 9897379618560. Its totient is φ = 929695104000.

The previous prime is 3067993919219. The next prime is 3067993919261. The reversal of 3067993919232 is 2329193997603.

3067993919232 is a `hidden beast` number, since 3 + 0 + 6 + 7 + 9 + 9 + 391 + 9 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 3067993919232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20099644 + ... + 20251707.

Almost surely, 23067993919232 is an apocalyptic number.

3067993919232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3067993919232 is an abundant number, since it is smaller than the sum of its proper divisors (6829385699328).

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

3067993919232 is a wasteful number, since it uses less digits than its factorization.

3067993919232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40351387 (or 40351367 counting only the distinct ones).

The product of its (nonzero) digits is 29760696, while the sum is 63.

The spelling of 3067993919232 in words is "three trillion, sixty-seven billion, nine hundred ninety-three million, nine hundred nineteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 38016 76032 40351351 80702702 121054053 161405404 242108106 322810808 363162159 443864861 484216212 645621616 726324318 887729722 968432424 1089486477 1291243232 1331594583 1452648636 1775459444 1936864848 2178972954 2582486464 2663189166 2905297272 3550918888 3873729696 3994783749 4357945908 5164972928 5326378332 5810594544 7101837776 7747459392 7989567498 8715891816 10329945856 10652756664 11621189088 11984351247 14203675552 15494918784 15979134996 17431783632 21305513328 23242378176 23968702494 28407351104 30989837568 31958269992 34863567264 42611026656 46484756352 47937404988 56814702208 63916539984 69727134528 85222053312 92969512704 95874809976 113629404416 127833079968 139454269056 170444106624 191749619952 255666159936 278908538112 340888213248 383499239904 511332319872 766998479808 1022664639744 1533996959616 3067993919232