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272631316660 = 225109277451481
BaseRepresentation
bin1111110111101000010…
…1111100000010110100
3222001201010220212020121
43331322011330002310
513431322104113120
6325124535141324
725461025645543
oct3757205740264
9861633825217
10272631316660
11a56932a843a
1244a07814844
131c92a952b21
14d2a436c15a
157159a9e5aa
hex3f7a17c0b4

272631316660 has 48 divisors (see below), whose sum is σ = 579865421520. Its totient is φ = 107661726720.

The previous prime is 272631316651. The next prime is 272631316663. The reversal of 272631316660 is 66613136272.

It can be written as a sum of positive squares in 8 ways, for example, as 6197783076 + 266433533584 = 78726^2 + 516172^2 .

It is a super-3 number, since 3×2726313166603 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272631316663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378120 + ... + 829600.

It is an arithmetic number, because the mean of its divisors is an integer number (12080529615).

Almost surely, 2272631316660 is an apocalyptic number.

272631316660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272631316660 is an abundant number, since it is smaller than the sum of its proper divisors (307234104860).

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

272631316660 is a wasteful number, since it uses less digits than its factorization.

272631316660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451876 (or 451874 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The spelling of 272631316660 in words is "two hundred seventy-two billion, six hundred thirty-one million, three hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 109 218 277 436 545 554 1090 1108 1385 2180 2770 5540 30193 60386 120772 150965 301930 451481 603860 902962 1805924 2257405 4514810 9029620 49211429 98422858 125060237 196845716 246057145 250120474 492114290 500240948 625301185 984228580 1250602370 2501204740 13631565833 27263131666 54526263332 68157829165 136315658330 272631316660