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2255452440432 = 2432314831377601
BaseRepresentation
bin100000110100100011011…
…100010000011101110000
321222121201100200101020120
4200310203130100131300
5243423131311043212
64444050205210240
7321644133264432
oct40644334203560
97877640611216
102255452440432
1179a594115254
12305156560980
131348c4124579
147b243498652
153da0981e88c
hex20d23710770

2255452440432 has 80 divisors (see below), whose sum is σ = 6084019431168. Its totient is φ = 718644326400.

The previous prime is 2255452440421. The next prime is 2255452440433. The reversal of 2255452440432 is 2340442545522.

It is a super-2 number, since 2×22554524404322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255452440433) by changing a digit.

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, 948432 + ... + 2326032.

Almost surely, 22255452440432 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 2255452440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042009715584).

2255452440432 is an abundant number, since it is smaller than the sum of its proper divisors (3828566990736).

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

2255452440432 is a wasteful number, since it uses less digits than its factorization.

2255452440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379118 (or 1379112 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 42.

Adding to 2255452440432 its reverse (2340442545522), we get a palindrome (4595894985954).

The spelling of 2255452440432 in words is "two trillion, two hundred fifty-five billion, four hundred fifty-two million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1483 2966 4449 5932 8898 11864 17796 23728 34109 35592 68218 71184 102327 136436 204654 272872 409308 545744 818616 1377601 1637232 2755202 4132803 5510404 8265606 11020808 16531212 22041616 31684823 33062424 63369646 66124848 95054469 126739292 190108938 253478584 380217876 506957168 760435752 1520871504 2042982283 4085964566 6128946849 8171929132 12257893698 16343858264 24515787396 32687716528 46988592509 49031574792 93977185018 98063149584 140965777527 187954370036 281931555054 375908740072 563863110108 751817480144 1127726220216 2255452440432