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2320120301952 = 27319772742187
BaseRepresentation
bin100001110000110001111…
…100100100100110000000
322012210122011200010012210
4201300301330210212000
5301003101244130302
64533503142022120
7326423513114025
oct41606174444600
98183564603183
102320120301952
11814a59474802
123157a3717940
1313aa2b96c09b
1480419c7154c
1540541c6c66c
hex21c31f24980

2320120301952 has 128 divisors (see below), whose sum is σ = 6202770013440. Its totient is φ = 768371079168.

The previous prime is 2320120301911. The next prime is 2320120301953. The reversal of 2320120301952 is 2591030210232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320120301953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54975003 + ... + 55017189.

It is an arithmetic number, because the mean of its divisors is an integer number (48459140730).

Almost surely, 22320120301952 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 2320120301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101385006720).

2320120301952 is an abundant number, since it is smaller than the sum of its proper divisors (3882649711488).

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

2320120301952 is a wasteful number, since it uses less digits than its factorization.

2320120301952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43128 (or 43116 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 2320120301952 in words is "two trillion, three hundred twenty billion, one hundred twenty million, three hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 384 394 591 727 788 1182 1454 1576 2181 2364 2908 3152 4362 4728 5816 6304 8724 9456 11632 12608 17448 18912 23264 25216 34896 37824 42187 46528 69792 75648 84374 93056 126561 139584 143219 168748 253122 279168 286438 337496 429657 506244 572876 674992 859314 1012488 1145752 1349984 1718628 2024976 2291504 2699968 3437256 4049952 4583008 5399936 6874512 8099904 8310839 9166016 13749024 16199808 16621678 18332032 24932517 27498048 30669949 33243356 49865034 54996096 61339898 66486712 92009847 99730068 122679796 132973424 184019694 199460136 245359592 265946848 368039388 398920272 490719184 531893696 736078776 797840544 981438368 1063787392 1472157552 1595681088 1962876736 2944315104 3191362176 3925753472 5888630208 6041979953 11777260416 12083959906 18125939859 24167919812 36251879718 48335839624 72503759436 96671679248 145007518872 193343358496 290015037744 386686716992 580030075488 773373433984 1160060150976 2320120301952