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23332320120032 = 2572111571861079
BaseRepresentation
bin1010100111000011110101…
…01001110000110011100000
310001121112210111200000120122
411103201322221300303200
511024234042422320112
6121342415255055412
74625463433500500
oct523417251606340
9101545714600518
1023332320120032
1174861aa487610
122749b62971568
1310032c78a5701
145a940c8c9a00
152a6dd940a872
hex15387aa70ce0

23332320120032 has 144 divisors (see below), whose sum is σ = 58330096513920. Its totient is φ = 9084717331200.

The previous prime is 23332320120029. The next prime is 23332320120133. The reversal of 23332320120032 is 23002102323332.

It is a junction number, because it is equal to n+sod(n) for n = 23332320119983 and 23332320120010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26666069 + ... + 27527147.

It is an arithmetic number, because the mean of its divisors is an integer number (405070114680).

Almost surely, 223332320120032 is an apocalyptic number.

23332320120032 is a gapful number since it is divisible by the number (22) 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 23332320120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29165048256960).

23332320120032 is an abundant number, since it is smaller than the sum of its proper divisors (34997776393888).

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

23332320120032 is a wasteful number, since it uses less digits than its factorization.

23332320120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862685 (or 862670 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 23332320120032 its reverse (23002102323332), we get a palindrome (46334422443364).

The spelling of 23332320120032 in words is "twenty-three trillion, three hundred thirty-two billion, three hundred twenty million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 1571 2156 2464 3142 4312 6284 8624 10997 12568 17248 17281 21994 25136 34562 43988 50272 69124 76979 87976 120967 138248 153958 175952 241934 276496 307916 351904 483868 552992 615832 846769 861079 967736 1231664 1693538 1722158 1935472 2463328 3387076 3444316 3870944 6027553 6774152 6888632 9471869 12055106 13548304 13777264 18943738 24110212 27096608 27554528 37887476 42192871 48220424 66303083 75774952 84385742 96440848 132606166 151549904 168771484 192881696 265212332 303099808 337542968 464121581 530424664 675085936 928243162 1060849328 1350171872 1352755109 1856486324 2121698656 2705510218 3712972648 5411020436 7425945296 9469285763 10822040872 14851890592 14880306199 18938571526 21644081744 29760612398 37877143052 43288163488 59521224796 66285000341 75754286104 104162143393 119042449592 132570000682 151508572208 208324286786 238084899184 265140001364 303017144416 416648573572 476169798368 530280002728 729135003751 833297147144 1060560005456 1458270007502 1666594294288 2121120010912 2916540015004 3333188588576 5833080030008 11666160060016 23332320120032