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274397700672 = 263217190114741
BaseRepresentation
bin1111111110001101100…
…0001010001001000000
3222020021020200110120200
43333203120022021000
513443431302410142
6330020115005200
725552554654264
oct3774330121100
9866236613520
10274397700672
11a640a391937
124521b299800
131cb4c8a3074
14d3d0bb40a4
15720ebb764c
hex3fe360a240

274397700672 has 168 divisors, whose sum is σ = 833271441912. Its totient is φ = 86034432000.

The previous prime is 274397700659. The next prime is 274397700679. The reversal of 274397700672 is 276007793472.

It can be written as a sum of positive squares in 4 ways, for example, as 88622908416 + 185774792256 = 297696^2 + 431016^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (274397700679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18607222 + ... + 18621962.

It is an arithmetic number, because the mean of its divisors is an integer number (4959949059).

Almost surely, 2274397700672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274397700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416635720956).

274397700672 is an abundant number, since it is smaller than the sum of its proper divisors (558873741240).

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

274397700672 is a wasteful number, since it uses less digits than its factorization.

274397700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16677 (or 16664 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 274397700672 in words is "two hundred seventy-four billion, three hundred ninety-seven million, seven hundred thousand, six hundred seventy-two".