Search a number
-
+
20352125214360 = 23325237177342481
BaseRepresentation
bin1001010000010100110010…
…01100011001111010011000
32200001122101121011210001200
410220022121030121322120
510131422123023324420
6111141345351314200
74200251430661242
oct450123114317230
980048347153050
1020352125214360
116537319117395
12234846567b960
13b4827425ab44
14505096061092
15254613782b90
hex128299319e98

20352125214360 has 192 divisors, whose sum is σ = 69030069151680. Its totient is φ = 5190528245760.

The previous prime is 20352125214359. The next prime is 20352125214389. The reversal of 20352125214360 is 6341252125302.

20352125214360 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 212 + 5 + 2 + 1 + 436 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59254320 + ... + 59596800.

It is an arithmetic number, because the mean of its divisors is an integer number (359531610165).

Almost surely, 220352125214360 is an apocalyptic number.

20352125214360 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 20352125214360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34515034575840).

20352125214360 is an abundant number, since it is smaller than the sum of its proper divisors (48677943937320).

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

20352125214360 is a wasteful number, since it uses less digits than its factorization.

20352125214360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349698 (or 349691 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 20352125214360 its reverse (6341252125302), we get a palindrome (26693377339662).

The spelling of 20352125214360 in words is "twenty trillion, three hundred fifty-two billion, one hundred twenty-five million, two hundred fourteen thousand, three hundred sixty".