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581087003868 = 223472937923311
BaseRepresentation
bin10000111010010110111…
…11000000010011011100
32001112212221201022020000
420131023133000103130
534010031233110433
61122540411054300
756660610015420
oct10351337002334
92045787638200
10581087003868
1120448a512688
1294750a41390
1342a47533037
14201a64b6b80
15101ae76c113
hex874b7c04dc

581087003868 has 240 divisors, whose sum is σ = 1800768076800. Its totient is φ = 159870049920.

The previous prime is 581087003801. The next prime is 581087003881. The reversal of 581087003868 is 868300780185.

It is a happy number.

It is a super-2 number, since 2×5810870038682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 24915933 + ... + 24939243.

It is an arithmetic number, because the mean of its divisors is an integer number (7503200320).

Almost surely, 2581087003868 is an apocalyptic number.

581087003868 is a gapful number since it is divisible by the number (58) 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 581087003868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900384038400).

581087003868 is an abundant number, since it is smaller than the sum of its proper divisors (1219681072932).

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

581087003868 is a wasteful number, since it uses less digits than its factorization.

581087003868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23742 (or 23731 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 581087003868 in words is "five hundred eighty-one billion, eighty-seven million, three thousand, eight hundred sixty-eight".