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4485612214272 = 211371729320939
BaseRepresentation
bin100000101000110001101…
…0100101001100000000000
3120212211011000202011120210
41001101203110221200000
51041443013211324042
613312354541034120
7642034436503350
oct101214324514000
916784130664523
104485612214272
11147a379178762
12605412555940
13266cb71b1717
14117167784b60
157ba3390aa9c
hex41463529800

4485612214272 has 384 divisors, whose sum is σ = 14521129459200. Its totient is φ = 1202040864768.

The previous prime is 4485612214249. The next prime is 4485612214283. The reversal of 4485612214272 is 2724122165844.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214212379 + ... + 214233317.

It is an arithmetic number, because the mean of its divisors is an integer number (37815441300).

Almost surely, 24485612214272 is an apocalyptic number.

4485612214272 is a gapful number since it is divisible by the number (42) 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 4485612214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260564729600).

4485612214272 is an abundant number, since it is smaller than the sum of its proper divisors (10035517244928).

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

4485612214272 is a wasteful number, since it uses less digits than its factorization.

4485612214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21281 (or 21261 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The spelling of 4485612214272 in words is "four trillion, four hundred eighty-five billion, six hundred twelve million, two hundred fourteen thousand, two hundred seventy-two".