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9200986056 = 23321922315391
BaseRepresentation
bin10001001000110101…
…11110011111001000
3212202020021112001100
420210122332133020
5122320423023211
64121001021400
7444003043143
oct104432763710
925666245040
109200986056
1139a1798009
121949484860
13b382c1362
14633db305a
1538cb7d156
hex2246be7c8

9200986056 has 144 divisors (see below), whose sum is σ = 27445167360. Its totient is φ = 2779064640.

The previous prime is 9200986051. The next prime is 9200986073. The reversal of 9200986056 is 6506890029.

9200986056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9200986051) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 590121 + ... + 605511.

It is an arithmetic number, because the mean of its divisors is an integer number (190591440).

Almost surely, 29200986056 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 9200986056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722583680).

9200986056 is an abundant number, since it is smaller than the sum of its proper divisors (18244181304).

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

9200986056 is a wasteful number, since it uses less digits than its factorization.

9200986056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15464 (or 15438 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9200986056 is about 95921.7705007575. The cubic root of 9200986056 is about 2095.4539645798.

The spelling of 9200986056 in words is "nine billion, two hundred million, nine hundred eighty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 36 38 46 57 69 72 76 92 114 138 152 171 184 207 228 276 342 361 414 437 456 552 684 722 828 874 1083 1311 1368 1444 1656 1748 2166 2622 2888 3249 3496 3933 4332 5244 6498 7866 8303 8664 10488 12996 15391 15732 16606 24909 25992 30782 31464 33212 46173 49818 61564 66424 74727 92346 99636 123128 138519 149454 184692 199272 277038 292429 298908 353993 369384 554076 584858 597816 707986 877287 1061979 1108152 1169716 1415972 1754574 2123958 2339432 2631861 2831944 3185937 3509148 4247916 5263722 5556151 6371874 6725867 7018296 8495832 10527444 11112302 12743748 13451734 16668453 20177601 21054888 22224604 25487496 26903468 33336906 40355202 44449208 50005359 53806936 60532803 66673812 80710404 100010718 121065606 127791473 133347624 161420808 200021436 242131212 255582946 383374419 400042872 484262424 511165892 766748838 1022331784 1150123257 1533497676 2300246514 3066995352 4600493028 9200986056