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21405500512 = 2511607100183
BaseRepresentation
bin10011111011110111…
…100000010001100000
32001020210020002111021
4103323313200101200
5322314302004022
613500014055224
71355306516014
oct237367402140
961223202437
1021405500512
1190949353a0
1241947aa514
132031930c46
141070c2a544
1585434a7c7
hex4fbde0460

21405500512 has 48 divisors (see below), whose sum is σ = 46049375232. Its totient is φ = 9713646720.

The previous prime is 21405500509. The next prime is 21405500563. The reversal of 21405500512 is 21500550412.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 163573 + ... + 263755.

It is an arithmetic number, because the mean of its divisors is an integer number (959361984).

Almost surely, 221405500512 is an apocalyptic number.

21405500512 is a gapful number since it is divisible by the number (22) 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 21405500512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23024687616).

21405500512 is an abundant number, since it is smaller than the sum of its proper divisors (24643874720).

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

21405500512 is a wasteful number, since it uses less digits than its factorization.

21405500512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100811 (or 100803 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 21405500512 in words is "twenty-one billion, four hundred five million, five hundred thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 607 1214 2428 4856 6677 9712 13354 19424 26708 53416 100183 106832 200366 213664 400732 801464 1102013 1602928 2204026 3205856 4408052 8816104 17632208 35264416 60811081 121622162 243244324 486488648 668921891 972977296 1337843782 1945954592 2675687564 5351375128 10702750256 21405500512