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4374530065920 = 293577110710711
BaseRepresentation
bin111111101010000110010…
…011111000011000000000
3120111012102112002100202010
4333222012103320120000
51033133014144102140
613145344213052520
7631022635020420
oct77520623703000
916435375070663
104374530065920
1114372561a6573
125a7991327140
13259693744461
14111a2a98c480
1578bd1806880
hex3fa864f8600

4374530065920 has 640 divisors, whose sum is σ = 16360767700992. Its totient is φ = 976505241600.

The previous prime is 4374530065909. The next prime is 4374530065933. The reversal of 4374530065920 is 295600354734.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4374530065920.

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 63 ways as a sum of consecutive naturals, for example, 408409365 + ... + 408420075.

Almost surely, 24374530065920 is an apocalyptic number.

4374530065920 is a gapful number since it is divisible by the number (40) 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 4374530065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180383850496).

4374530065920 is an abundant number, since it is smaller than the sum of its proper divisors (11986237635072).

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

4374530065920 is a wasteful number, since it uses less digits than its factorization.

4374530065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10922 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 4374530065920 in words is "four trillion, three hundred seventy-four billion, five hundred thirty million, sixty-five thousand, nine hundred twenty".