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274431027660 = 223513970946411
BaseRepresentation
bin1111111110010101011…
…1010010100111001100
3222020100120101122121120
43333211113102213030
513444013320341120
6330023305200540
725553441150436
oct3774527224714
9866316348546
10274431027660
11a64271849a9
124522a490150
131cb5677148a
14d3d53ab656
157212a9c140
hex3fe55d29cc

274431027660 has 96 divisors (see below), whose sum is σ = 775043270400. Its totient is φ = 72551082240.

The previous prime is 274431027649. The next prime is 274431027713. The reversal of 274431027660 is 66720134472.

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 31 ways as a sum of consecutive naturals, for example, 5889855 + ... + 5936265.

It is an arithmetic number, because the mean of its divisors is an integer number (8073367400).

Almost surely, 2274431027660 is an apocalyptic number.

274431027660 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 274431027660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387521635200).

274431027660 is an abundant number, since it is smaller than the sum of its proper divisors (500612242740).

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

274431027660 is a wasteful number, since it uses less digits than its factorization.

274431027660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47271 (or 47269 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 274431027660 in words is "two hundred seventy-four billion, four hundred thirty-one million, twenty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 709 834 1390 1418 1668 2085 2127 2780 2836 3545 4170 4254 7090 8340 8508 10635 14180 21270 42540 46411 92822 98551 139233 185644 197102 232055 278466 295653 394204 464110 492755 556932 591306 696165 928220 985510 1182612 1392330 1478265 1971020 2784660 2956530 5913060 6451129 12902258 19353387 25804516 32255645 32905399 38706774 64511290 65810798 77413548 96766935 98716197 129022580 131621596 164526995 193533870 197432394 329053990 387067740 394864788 493580985 658107980 987161970 1974323940 4573850461 9147700922 13721551383 18295401844 22869252305 27443102766 45738504610 54886205532 68607756915 91477009220 137215513830 274431027660