Search a number
-
+
272275505312 = 25297110973767
BaseRepresentation
bin1111110110010011100…
…0101000000010100000
3222000210100101202211112
43331210320220002200
513430110012132222
6325025345002452
725446145415636
oct3754470500240
9860710352745
10272275505312
11a5520474078
1244928623428
131c8a2013775
14d26cdcb356
157138718be2
hex3f64e280a0

272275505312 has 96 divisors (see below), whose sum is σ = 562998885120. Its totient is φ = 129439528960.

The previous prime is 272275505311. The next prime is 272275505323. The reversal of 272275505312 is 213505572272.

272275505312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 272275505312.

It is not an unprimeable number, because it can be changed into a prime (272275505311) 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, 72277253 + ... + 72281019.

It is an arithmetic number, because the mean of its divisors is an integer number (5864571720).

Almost surely, 2272275505312 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 272275505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281499442560).

272275505312 is an abundant number, since it is smaller than the sum of its proper divisors (290723379808).

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

272275505312 is a wasteful number, since it uses less digits than its factorization.

272275505312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 41.

The spelling of 272275505312 in words is "two hundred seventy-two billion, two hundred seventy-five million, five hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 71 116 142 232 284 464 568 928 1097 1136 2059 2194 2272 3767 4118 4388 7534 8236 8776 15068 16472 17552 30136 31813 32944 35104 60272 63626 65888 77887 109243 120544 127252 155774 218486 254504 267457 311548 436972 509008 534914 623096 873944 1018016 1069828 1246192 1747888 2139656 2258723 2492384 3495776 4132399 4279312 4517446 7756253 8264798 8558624 9034892 15512506 16529596 18069784 31025012 33059192 36139568 62050024 66118384 72279136 119839571 124100048 132236768 239679142 248200096 293400329 479358284 586800658 958716568 1173601316 1917433136 2347202632 3834866272 4694405264 8508609541 9388810528 17017219082 34034438164 68068876328 136137752656 272275505312