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13808130064 = 2429210132
BaseRepresentation
bin11001101110000011…
…10101100000010000
31022122022102200111121
430313001311200100
5211234340130224
610202100052024
7666115111651
oct146701654020
938568380447
1013808130064
115946369543
122814394014
1313c0940281
1494dc0d528
1555c382be4
hex337075810

13808130064 has 45 divisors (see below), whose sum is σ = 27734968183. Its totient is φ = 6659413376.

The previous prime is 13808130023. The next prime is 13808130073. The reversal of 13808130064 is 46003180831.

The square root of 13808130064 is 117508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5956752400 + 7851377664 = 77180^2 + 88608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13630422 + ... + 13631434.

Almost surely, 213808130064 is an apocalyptic number.

13808130064 is the 117508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13808130064

13808130064 is an abundant number, since it is smaller than the sum of its proper divisors (13926838119).

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

13808130064 is an frugal number, since it uses more digits than its factorization.

13808130064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 13808130064 in words is "thirteen billion, eight hundred eight million, one hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1013 1682 2026 3364 4052 6728 8104 13456 16208 29377 58754 117508 235016 470032 851933 1026169 1703866 2052338 3407732 4104676 6815464 8209352 13630928 16418704 29758901 59517802 119035604 238071208 476142416 863008129 1726016258 3452032516 6904065032 13808130064