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23425141520 = 24511191139369
BaseRepresentation
bin10101110100001111…
…110100101100010000
32020110112112111010002
4111310033310230100
5340433314012040
614432242025132
71456332263144
oct256417645420
966415474102
1023425141520
119a309775a0
1246590481a8
1322941941b1
1411c3159224
159217dca15
hex5743f4b10

23425141520 has 80 divisors (see below), whose sum is σ = 59726177280. Its totient is φ = 8473574400.

The previous prime is 23425141513. The next prime is 23425141567. The reversal of 23425141520 is 2514152432.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 98396 + ... + 237764.

It is an arithmetic number, because the mean of its divisors is an integer number (746577216).

Almost surely, 223425141520 is an apocalyptic number.

23425141520 is a gapful number since it is divisible by the number (20) 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 23425141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29863088640).

23425141520 is an abundant number, since it is smaller than the sum of its proper divisors (36301035760).

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

23425141520 is a wasteful number, since it uses less digits than its factorization.

23425141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139584 (or 139578 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 23425141520 its reverse (2514152432), we get a palindrome (25939293952).

The spelling of 23425141520 in words is "twenty-three billion, four hundred twenty-five million, one hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 191 220 382 440 764 880 955 1528 1910 2101 3056 3820 4202 7640 8404 10505 15280 16808 21010 33616 42020 84040 139369 168080 278738 557476 696845 1114952 1393690 1533059 2229904 2787380 3066118 5574760 6132236 7665295 11149520 12264472 15330590 24528944 26619479 30661180 53238958 61322360 106477916 122644720 133097395 212955832 266194790 292814269 425911664 532389580 585628538 1064779160 1171257076 1464071345 2129558320 2342514152 2928142690 4685028304 5856285380 11712570760 23425141520