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4274898768 = 243572191181
BaseRepresentation
bin1111111011001101…
…1100011101010000
3102000220222100200000
43332303130131100
532223333230033
61544105530000
7210636016500
oct37663343520
912026870600
104274898768
1118a4083798
129b37a3900
135318711ca
142c7a71a00
151a0476a13
hexfecdc750

4274898768 has 360 divisors, whose sum is σ = 15204964320. Its totient is φ = 1156135680.

The previous prime is 4274898767. The next prime is 4274898769. The reversal of 4274898768 is 8678984724.

It is an interprime number because it is at equal distance from previous prime (4274898767) and next prime (4274898769).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4274898767) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3619138 + ... + 3620318.

It is an arithmetic number, because the mean of its divisors is an integer number (42236012).

Almost surely, 24274898768 is an apocalyptic number.

4274898768 is a gapful number since it is divisible by the number (48) 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 4274898768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7602482160).

4274898768 is an abundant number, since it is smaller than the sum of its proper divisors (10930065552).

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

4274898768 is a wasteful number, since it uses less digits than its factorization.

4274898768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1212 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The square root of 4274898768 is about 65382.7100080748. The cubic root of 4274898768 is about 1622.9629724948.

The spelling of 4274898768 in words is "four billion, two hundred seventy-four million, eight hundred ninety-eight thousand, seven hundred sixty-eight".