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2420750807296 = 28229352911701
BaseRepresentation
bin100011001110011111111…
…111011111000100000000
322120102101021201110012021
4203032133333133010000
5304130144201313141
65052024431011224
7336615314233363
oct43163777370400
98512337643167
102420750807296
118536a87a38a8
123311a8669b14
13147377c983c3
148524493a0da
1542e814ed6d1
hex2339ffdf100

2420750807296 has 72 divisors (see below), whose sum is σ = 4854936291800. Its totient is φ = 1204645478400.

The previous prime is 2420750807281. The next prime is 2420750807311. The reversal of 2420750807296 is 6927080570242.

It is an interprime number because it is at equal distance from previous prime (2420750807281) and next prime (2420750807311).

It can be written as a sum of positive squares in 4 ways, for example, as 694995664896 + 1725755142400 = 833664^2 + 1313680^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206878246 + ... + 206889946.

Almost surely, 22420750807296 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 2420750807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427468145900).

2420750807296 is an abundant number, since it is smaller than the sum of its proper divisors (2434185484504).

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

2420750807296 is a wasteful number, since it uses less digits than its factorization.

2420750807296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15475 (or 15461 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 2420750807296 in words is "two trillion, four hundred twenty billion, seven hundred fifty million, eight hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 916 1832 3529 3664 7058 7328 11701 14116 14656 23402 28232 29312 46804 56464 58624 93608 112928 187216 225856 374432 451712 748864 808141 903424 1497728 1616282 2679529 2995456 3232564 5359058 6465128 10718116 12930256 21436232 25860512 41292829 42872464 51721024 82585658 85744928 103442048 165171316 171489856 206884096 330342632 342979712 660685264 685959424 1321370528 2642741056 5285482112 9456057841 10570964224 18912115682 37824231364 75648462728 151296925456 302593850912 605187701824 1210375403648 2420750807296