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274378055040 = 27325270717597
BaseRepresentation
bin1111111110001000110…
…1001101110110000000
3222020012212201100211200
43333202031031312000
513443411240230130
6330014133541200
725552225662345
oct3774215156600
9866185640750
10274378055040
11a63aa293881
12452147a4800
131cb487b502b
14d3cc33c7cc
15720d0d6760
hex3fe234dd80

274378055040 has 192 divisors, whose sum is σ = 947865587760. Its totient is φ = 73136295936.

The previous prime is 274378055011. The next prime is 274378055041. The reversal of 274378055040 is 40550873472.

274378055040 is a `hidden beast` number, since 2 + 74 + 3 + 78 + 0 + 5 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274378055041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15583522 + ... + 15601118.

Almost surely, 2274378055040 is an apocalyptic number.

274378055040 is a gapful number since it is divisible by the number (20) 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 274378055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473932793880).

274378055040 is an abundant number, since it is smaller than the sum of its proper divisors (673487532720).

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

274378055040 is a wasteful number, since it uses less digits than its factorization.

274378055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20329 (or 20314 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 274378055040 in words is "two hundred seventy-four billion, three hundred seventy-eight million, fifty-five thousand, forty".