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274068976104 = 233271171696271
BaseRepresentation
bin1111111100111111001…
…0001011000111101000
3222012102100010112020200
43333033302023013220
513442243124213404
6325523333152200
725541453600520
oct3771762130750
9865370115220
10274068976104
11a6260879240
124514918b660
131cac97589a1
14d39d284680
1571e0dd2839
hex3fcfc8b1e8

274068976104 has 192 divisors, whose sum is σ = 938463252480. Its totient is φ = 70184016000.

The previous prime is 274068976081. The next prime is 274068976123. The reversal of 274068976104 is 401679860472.

It is a super-3 number, since 3×2740689761043 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 45489 + ... + 741759.

It is an arithmetic number, because the mean of its divisors is an integer number (4887829440).

Almost surely, 2274068976104 is an apocalyptic number.

274068976104 is a gapful number since it is divisible by the number (24) 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 274068976104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469231626240).

274068976104 is an abundant number, since it is smaller than the sum of its proper divisors (664394276376).

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

274068976104 is a wasteful number, since it uses less digits than its factorization.

274068976104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696372 (or 696365 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 274068976104 in words is "two hundred seventy-four billion, sixty-eight million, nine hundred seventy-six thousand, one hundred four".