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10030555866240 = 27355721319732
BaseRepresentation
bin1001000111110110101110…
…1110000010010010000000
31022111220121200111002100000
42101331223232002102000
52303320034300204430
633155550155200000
72053453345046400
oct221755356022200
938456550432300
1010030555866240
113217a31321638
12115bba4a46000
13579b53735c50
142696a5312800
15125db776ce60
hex91f6bb82480

10030555866240 has 3456 divisors, whose sum is σ = 48024258609600. Its totient is φ = 1977485819904.

The previous prime is 10030555866239. The next prime is 10030555866269. The reversal of 10030555866240 is 4266855503001.

10030555866240 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 0 + 5 + 5 + 586 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×100305558662402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 431 ways as a sum of consecutive naturals, for example, 137404874844 + ... + 137404874916.

Almost surely, 210030555866240 is an apocalyptic number.

10030555866240 is a gapful number since it is divisible by the number (10) 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 10030555866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24012129304800).

10030555866240 is an abundant number, since it is smaller than the sum of its proper divisors (37993702743360).

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

10030555866240 is an equidigital number, since it uses as much as digits as its factorization.

10030555866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 10030555866240 in words is "ten trillion, thirty billion, five hundred fifty-five million, eight hundred sixty-six thousand, two hundred forty".