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10773384432 = 2431743479641
BaseRepresentation
bin10100000100010010…
…01100110011110000
31000210211000122010020
422002021030303300
5134030441300212
64541011003440
7530655154026
oct120211146360
930724018106
1010773384432
1146293271a8
122107b99580
131028cb19b5
14742b60716
15430c28d8c
hex28224ccf0

10773384432 has 160 divisors (see below), whose sum is σ = 30263777280. Its totient is φ = 3289251840.

The previous prime is 10773384397. The next prime is 10773384497. The reversal of 10773384432 is 23448337701.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 16806832 + ... + 16807472.

It is an arithmetic number, because the mean of its divisors is an integer number (189148608).

Almost surely, 210773384432 is an apocalyptic number.

10773384432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10773384432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15131888640).

10773384432 is an abundant number, since it is smaller than the sum of its proper divisors (19490392848).

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

10773384432 is a wasteful number, since it uses less digits than its factorization.

10773384432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 10773384432 in words is "ten billion, seven hundred seventy-three million, three hundred eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 258 272 344 408 479 516 641 688 731 816 958 1032 1282 1437 1462 1916 1923 2064 2193 2564 2874 2924 3832 3846 4386 5128 5748 5848 7664 7692 8143 8772 10256 10897 11496 11696 15384 16286 17544 20597 21794 22992 24429 27563 30768 32572 32691 35088 41194 43588 48858 55126 61791 65144 65382 82388 82689 87176 97716 110252 123582 130288 130764 164776 165378 174352 195432 220504 247164 261528 307039 329552 330756 350149 390864 441008 468571 494328 523056 614078 661512 700298 921117 937142 988656 1050447 1228156 1323024 1400596 1405713 1842234 1874284 2100894 2456312 2801192 2811426 3684468 3748568 4201788 4912624 5219663 5602384 5622852 7368936 7497136 8403576 10439326 11245704 13202677 14737872 15658989 16807152 20878652 22491408 26405354 31317978 39608031 41757304 52810708 62635956 79216062 83514608 105621416 125271912 158432124 211242832 224445509 250543824 316864248 448891018 633728496 673336527 897782036 1346673054 1795564072 2693346108 3591128144 5386692216 10773384432