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554521104232368 = 2437413311319381
BaseRepresentation
bin111111000010101011000000…
…1011100000010111110110000
32200201101200220011222102000220
41332011112001130002332300
51040140233210140413433
65243211251205213040
7224541553620450000
oct17605260134027660
92621350804872026
10554521104232368
11150762097005079
1252239aa3a01180
131aa5516740b000
149ad0d70dd0000
154419576cd72b3
hex1f85581702fb0

554521104232368 has 800 divisors, whose sum is σ = 1826481137933760. Its totient is φ = 144945620951040.

The previous prime is 554521104232349. The next prime is 554521104232387. The reversal of 554521104232368 is 863232401125455.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (554521104232349) and next prime (554521104232387).

It is a self number, because there is not a number n which added to its sum of digits gives 554521104232368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28611574038 + ... + 28611593418.

Almost surely, 2554521104232368 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 554521104232368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913240568966880).

554521104232368 is an abundant number, since it is smaller than the sum of its proper divisors (1271960033701392).

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

554521104232368 is a wasteful number, since it uses less digits than its factorization.

554521104232368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19572 (or 19519 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 554521104232368 in words is "five hundred fifty-four trillion, five hundred twenty-one billion, one hundred four million, two hundred thirty-two thousand, three hundred sixty-eight".