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2425815949312 = 2137192226467
BaseRepresentation
bin100011010011001101111…
…001011110000000000000
322120220110021200022210201
4203103031321132000000
5304221032340334222
65054223210334544
7340154660232310
oct43231571360000
98526407608721
102425815949312
11855867953a88
12332180a2a454
131479a4484562
14855a5517440
154317b021427
hex234cde5e000

2425815949312 has 112 divisors (see below), whose sum is σ = 5836196039040. Its totient is φ = 984917311488.

The previous prime is 2425815949301. The next prime is 2425815949313. The reversal of 2425815949312 is 2139495185242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425815949313) 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 7 ways as a sum of consecutive naturals, for example, 23698 + ... + 2202769.

Almost surely, 22425815949312 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 2425815949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918098019520).

2425815949312 is an abundant number, since it is smaller than the sum of its proper divisors (3410380089728).

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

2425815949312 is an equidigital number, since it uses as much as digits as its factorization.

2425815949312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226519 (or 2226495 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 55.

The spelling of 2425815949312 in words is "two trillion, four hundred twenty-five billion, eight hundred fifteen million, nine hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1024 1064 1216 1792 2048 2128 2432 3584 4096 4256 4864 7168 8192 8512 9728 14336 17024 19456 28672 34048 38912 57344 68096 77824 136192 155648 272384 544768 1089536 2226467 4452934 8905868 15585269 17811736 31170538 35623472 42302873 62341076 71246944 84605746 124682152 142493888 169211492 249364304 284987776 296120111 338422984 498728608 569975552 592240222 676845968 997457216 1139951104 1184480444 1353691936 1994914432 2279902208 2368960888 2707383872 3989828864 4559804416 4737921776 5414767744 7979657728 9119608832 9475843552 10829535488 15959315456 18239217664 18951687104 21659070976 31918630912 37903374208 43318141952 63837261824 75806748416 86636283904 127674523648 151613496832 173272567808 303226993664 346545135616 606453987328 1212907974656 2425815949312