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4274082548736 = 2103721113238997
BaseRepresentation
bin111110001100100011001…
…011000000110000000000
3120010121011011100210022220
4332030203023000300000
51030011310113024421
613031253022131040
7620535515143200
oct76144313006000
916117134323286
104274082548736
1113a86a01a0160
12590419720a80
132500762c7160
1410ac1c318400
15762a316e3c6
hex3e3232c0c00

4274082548736 has 2112 divisors, whose sum is σ = 16597466403840. Its totient is φ = 959195381760.

The previous prime is 4274082548731. The next prime is 4274082548779. The reversal of 4274082548736 is 6378452804724.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a self number, because there is not a number n which added to its sum of digits gives 4274082548736.

It is not an unprimeable number, because it can be changed into a prime (4274082548731) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44062706640 + ... + 44062706736.

Almost surely, 24274082548736 is an apocalyptic number.

4274082548736 is a gapful number since it is divisible by the number (46) 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 4274082548736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298733201920).

4274082548736 is an abundant number, since it is smaller than the sum of its proper divisors (12323383855104).

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

4274082548736 is a wasteful number, since it uses less digits than its factorization.

4274082548736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 60.

The spelling of 4274082548736 in words is "four trillion, two hundred seventy-four billion, eighty-two million, five hundred forty-eight thousand, seven hundred thirty-six".