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274224865068 = 223371154160953
BaseRepresentation
bin1111111101100100010…
…0110101111100101100
3222012211012110111201000
43333121010311330230
513443103031140233
6325551022320300
725545355615350
oct3773104657454
9865735414630
10274224865068
11a63308729a0
1245191429090
131cb22b3a18b
14d3b5c63460
1571ee926d13
hex3fd9135f2c

274224865068 has 192 divisors, whose sum is σ = 888036387840. Its totient is φ = 71094412800.

The previous prime is 274224865007. The next prime is 274224865069. The reversal of 274224865068 is 860568422472.

274224865068 is a `hidden beast` number, since 2 + 74 + 22 + 48 + 6 + 506 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (274224865069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4468480 + ... + 4529432.

It is an arithmetic number, because the mean of its divisors is an integer number (4625189520).

Almost surely, 2274224865068 is an apocalyptic number.

274224865068 is a gapful number since it is divisible by the number (28) 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 274224865068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444018193920).

274224865068 is an abundant number, since it is smaller than the sum of its proper divisors (613811522772).

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

274224865068 is a wasteful number, since it uses less digits than its factorization.

274224865068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61525 (or 61517 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 274224865068 in words is "two hundred seventy-four billion, two hundred twenty-four million, eight hundred sixty-five thousand, sixty-eight".