Search a number
-
+
54413521041222 = 232717613491119291
BaseRepresentation
bin11000101111101001000101…
…00101111011011101000110
321010122212210211122101201100
430113310202211323131012
524113002342341304342
6311421120530240530
714314150530323430
oct1427644245733506
9233585724571640
1054413521041222
1116379710085492
126129856126146
13244923316cb45
14d618b2747650
15645649587e4c
hex317d2297b746

54413521041222 has 192 divisors, whose sum is σ = 145045528063488. Its totient is φ = 14388091776000.

The previous prime is 54413521041197. The next prime is 54413521041223. The reversal of 54413521041222 is 22214012531445.

54413521041222 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 3 + 5 + 210 + 412 + 22 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54413521041223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 456081397 + ... + 456200687.

It is an arithmetic number, because the mean of its divisors is an integer number (755445458664).

Almost surely, 254413521041222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54413521041222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72522764031744).

54413521041222 is an abundant number, since it is smaller than the sum of its proper divisors (90632007022266).

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

54413521041222 is a wasteful number, since it uses less digits than its factorization.

54413521041222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122875 (or 122872 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 54413521041222 its reverse (22214012531445), we get a palindrome (76627533572667).

The spelling of 54413521041222 in words is "fifty-four trillion, four hundred thirteen billion, five hundred twenty-one million, forty-one thousand, two hundred twenty-two".