Search a number
-
+
4053755145356 = 2272411058947639
BaseRepresentation
bin111010111111010110101…
…000101010110010001100
3112100112110011111000120122
4322333112220222302030
51012404042304122411
612342134105204112
7565605555130400
oct72772650526214
915315404430518
104053755145356
111323208109a34
1255578a490638
13235362829457
141002ba687100
15706aa35a9db
hex3afd6a2ac8c

4053755145356 has 72 divisors (see below), whose sum is σ = 8454538360800. Its totient is φ = 1694754243840.

The previous prime is 4053755145337. The next prime is 4053755145359. The reversal of 4053755145356 is 6535415573504.

It is a junction number, because it is equal to n+sod(n) for n = 4053755145298 and 4053755145307.

It is not an unprimeable number, because it can be changed into a prime (4053755145359) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 85069385 + ... + 85117023.

It is an arithmetic number, because the mean of its divisors is an integer number (117424143900).

Almost surely, 24053755145356 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 4053755145356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227269180400).

4053755145356 is an abundant number, since it is smaller than the sum of its proper divisors (4400783215444).

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

4053755145356 is a wasteful number, since it uses less digits than its factorization.

4053755145356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58287 (or 58278 counting only the distinct ones).

The product of its (nonzero) digits is 18900000, while the sum is 53.

The spelling of 4053755145356 in words is "four trillion, fifty-three billion, seven hundred fifty-five million, one hundred forty-five thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 2009 4018 8036 10589 21178 42356 47639 74123 95278 148246 190556 296492 333473 434149 518861 666946 868298 1037722 1333892 1736596 1953199 2075444 2334311 3039043 3906398 4668622 6078086 7812796 9337244 12156172 13672393 21273301 27344786 42546602 54689572 85093204 95706751 191413502 382827004 504449371 1008898742 2017797484 3531145597 7062291194 14124582388 20682424211 24718019179 41364848422 49436038358 82729696844 98872076716 144776969477 289553938954 579107877908 1013438786339 2026877572678 4053755145356