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1316412120064 = 21023471189231
BaseRepresentation
bin10011001010000000010…
…001101101110000000000
311122211220000122112110211
4103022000101231300000
5133032003000320224
62444430144203504
7164051630253046
oct23120021556000
94584800575424
101316412120064
11468318360988
12193167909594
13971a23767a2
1447a01158396
1524399bc5894
hex1328046dc00

1316412120064 has 88 divisors (see below), whose sum is σ = 2804380305408. Its totient is φ = 616192389120.

The previous prime is 1316412120061. The next prime is 1316412120103. The reversal of 1316412120064 is 4600212146131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316412120061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 512329 + ... + 1701559.

It is an arithmetic number, because the mean of its divisors is an integer number (31867958016).

Almost surely, 21316412120064 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 1316412120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402190152704).

1316412120064 is an abundant number, since it is smaller than the sum of its proper divisors (1487968185344).

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

1316412120064 is a wasteful number, since it uses less digits than its factorization.

1316412120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189321 (or 1189303 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 1316412120064 its reverse (4600212146131), we get a palindrome (5916624266195).

The spelling of 1316412120064 in words is "one trillion, three hundred sixteen billion, four hundred twelve million, one hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 128 184 188 256 368 376 512 736 752 1024 1081 1472 1504 2162 2944 3008 4324 5888 6016 8648 11776 12032 17296 23552 24064 34592 48128 69184 138368 276736 553472 1106944 1189231 2378462 4756924 9513848 19027696 27352313 38055392 54704626 55893857 76110784 109409252 111787714 152221568 218818504 223575428 304443136 437637008 447150856 608886272 875274016 894301712 1217772544 1285558711 1750548032 1788603424 2571117422 3501096064 3577206848 5142234844 7002192128 7154413696 10284469688 14004384256 14308827392 20568939376 28008768512 28617654784 41137878752 57235309568 82275757504 164551515008 329103030016 658206060032 1316412120064