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13013333776 = 24194792
BaseRepresentation
bin11000001111010011…
…11011011100010000
31020120220212211222001
430013221323130100
5203122403140101
65551144523344
7640324340422
oct140751733420
936526784861
1013013333776
115578762303
122632180554
1312c508cb01
148b643a812
155126d7901
hex307a7b710

13013333776 has 75 divisors (see below), whose sum is σ = 26955215511. Its totient is φ = 6086182752.

The previous prime is 13013333759. The next prime is 13013333777. The reversal of 13013333776 is 67733331031.

The square root of 13013333776 is 114076.

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

13013333776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13013333777) 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 14 ways as a sum of consecutive naturals, for example, 164725705 + ... + 164725783.

Almost surely, 213013333776 is an apocalyptic number.

13013333776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13013333776 is the 114076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13013333776

13013333776 is an abundant number, since it is smaller than the sum of its proper divisors (13941881735).

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

13013333776 is an frugal number, since it uses more digits than its factorization.

13013333776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 37.

The spelling of 13013333776 in words is "thirteen billion, thirteen million, three hundred thirty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 361 632 722 1264 1444 1501 2888 3002 5776 6004 6241 6859 12008 12482 13718 24016 24964 27436 28519 49928 54872 57038 99856 109744 114076 118579 130321 228152 237158 260642 456304 474316 521284 541861 948632 1042568 1083722 1897264 2085136 2167444 2253001 4334888 4506002 8669776 9012004 10295359 18024008 20590718 36048016 41181436 42807019 82362872 85614038 164725744 171228076 342456152 684912304 813333361 1626666722 3253333444 6506666888 13013333776