Search a number
-
+
2423090351520 = 253251727182007
BaseRepresentation
bin100011010000101011011…
…100001000110110100000
322120122102022222121112100
4203100223130020312200
5304144442112222040
65053052523330400
7340030303104126
oct43205334106640
98518368877470
102423090351520
11854699374023
12331740080a00
1314765b8a77b7
14853c753d916
154306bad1b30
hex2342b708da0

2423090351520 has 432 divisors, whose sum is σ = 8907631544448. Its totient is φ = 599575388160.

The previous prime is 2423090351509. The next prime is 2423090351533. The reversal of 2423090351520 is 251530903242.

2423090351520 is a `hidden beast` number, since 2 + 4 + 2 + 30 + 90 + 3 + 515 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 29506357 + ... + 29588363.

It is an arithmetic number, because the mean of its divisors is an integer number (20619517464).

Almost surely, 22423090351520 is an apocalyptic number.

2423090351520 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 2423090351520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453815772224).

2423090351520 is an abundant number, since it is smaller than the sum of its proper divisors (6484541192928).

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

2423090351520 is a wasteful number, since it uses less digits than its factorization.

2423090351520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82133 (or 82105 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 2423090351520 in words is "two trillion, four hundred twenty-three billion, ninety million, three hundred fifty-one thousand, five hundred twenty".