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1013165064 = 233331831823
BaseRepresentation
bin111100011000111…
…010110000001000
32121121110010012000
4330120322300020
54033332240224
6244311351000
734051522002
oct7430726010
92547403160
101013165064
1147a9a59aa
12243382460
13131b99572
14987b7372
155de320c9
hex3c63ac08

1013165064 has 128 divisors (see below), whose sum is σ = 2941747200. Its totient is φ = 322712640.

The previous prime is 1013165059. The next prime is 1013165071. The reversal of 1013165064 is 4605613101.

1013165064 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 650 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554857 + ... + 556679.

It is an arithmetic number, because the mean of its divisors is an integer number (22982400).

Almost surely, 21013165064 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 1013165064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470873600).

1013165064 is an abundant number, since it is smaller than the sum of its proper divisors (1928582136).

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

1013165064 is a wasteful number, since it uses less digits than its factorization.

1013165064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1013165064 is about 31830.2539103916. The cubic root of 1013165064 is about 1004.3692366347.

Adding to 1013165064 its reverse (4605613101), we get a palindrome (5618778165).

The spelling of 1013165064 in words is "one billion, thirteen million, one hundred sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 83 93 108 124 166 186 216 248 249 279 332 372 498 558 664 744 747 837 996 1116 1494 1674 1823 1992 2232 2241 2573 2988 3348 3646 4482 5146 5469 5976 6696 7292 7719 8964 10292 10938 14584 15438 16407 17928 20584 21876 23157 30876 32814 43752 46314 49221 56513 61752 65628 69471 92628 98442 113026 131256 138942 151309 169539 185256 196884 226052 277884 302618 339078 393768 452104 453927 508617 555768 605236 678156 907854 1017234 1210472 1356312 1361781 1525851 1815708 2034468 2723562 3051702 3631416 4068936 4085343 4690579 5447124 6103404 8170686 9381158 10894248 12206808 14071737 16341372 18762316 28143474 32682744 37524632 42215211 56286948 84430422 112573896 126645633 168860844 253291266 337721688 506582532 1013165064