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272212060064 = 2571215232411
BaseRepresentation
bin1111110110000100011…
…0100110011110100000
3222000121221000102022112
43331201012212132200
513424442241410224
6325015201054452
725444445222240
oct3754106463640
9860557012275
10272212060064
11a549867a78a
124490b327428
131c891b2b5b9
14d2647d3b20
157132d8530e
hex3f611a67a0

272212060064 has 24 divisors (see below), whose sum is σ = 612477135648. Its totient is φ = 116662311360.

The previous prime is 272212060063. The next prime is 272212060121. The reversal of 272212060064 is 460060212272.

272212060064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 272212060064.

It is not an unprimeable number, because it can be changed into a prime (272212060063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 607615982 + ... + 607616429.

It is an arithmetic number, because the mean of its divisors is an integer number (25519880652).

Almost surely, 2272212060064 is an apocalyptic number.

It is an amenable number.

272212060064 is an abundant number, since it is smaller than the sum of its proper divisors (340265075584).

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

272212060064 is a wasteful number, since it uses less digits than its factorization.

272212060064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215232428 (or 1215232420 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 272212060064 in words is "two hundred seventy-two billion, two hundred twelve million, sixty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1215232411 2430464822 4860929644 8506626877 9721859288 17013253754 19443718576 34026507508 38887437152 68053015016 136106030032 272212060064