Search a number
-
+
1065312347632 = 2413191257721433
BaseRepresentation
bin11111000000010011001…
…00000110010111110000
310202211202110010110012021
433200021210012113300
5114423224430111012
62133221524441224
7136652301355501
oct17401144062760
93684673113167
101065312347632
113808840583a5
1215256ab49214
13795c64b66a0
14397c0666ba8
151caa056d007
hexf8099065f0

1065312347632 has 80 divisors (see below), whose sum is σ = 2340100675360. Its totient is φ = 465745821696.

The previous prime is 1065312347599. The next prime is 1065312347633. The reversal of 1065312347632 is 2367432135601.

It is a super-2 number, since 2×10653123476322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065312347633) 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 15 ways as a sum of consecutive naturals, for example, 49693588 + ... + 49715020.

It is an arithmetic number, because the mean of its divisors is an integer number (29251258442).

Almost surely, 21065312347632 is an apocalyptic number.

It is an amenable number.

1065312347632 is an abundant number, since it is smaller than the sum of its proper divisors (1274788327728).

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

1065312347632 is a wasteful number, since it uses less digits than its factorization.

1065312347632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34050 (or 34044 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 1065312347632 in words is "one trillion, sixty-five billion, three hundred twelve million, three hundred forty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 12577 21433 25154 42866 50308 85732 100616 163501 171464 201232 238963 278629 327002 342928 407227 477926 557258 654004 814454 955852 1114516 1308008 1628908 1911704 2229032 2616016 3106519 3257816 3823408 4458064 5293951 6213038 6515632 10587902 12426076 21175804 24852152 42351608 49704304 84703216 269562841 539125682 1078251364 2156502728 3504316933 4313005456 5121693979 7008633866 10243387958 14017267732 20486775916 28034535464 40973551832 56069070928 66582021727 81947103664 133164043454 266328086908 532656173816 1065312347632