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13326444117 = 327616773709
BaseRepresentation
bin11000110100101000…
…10110011001010101
31021101202001111121100
430122110112121111
5204243032202432
610042211540313
7651145622520
oct143224263125
937352044540
1013326444117
115719480788
1226babba699
131344bcb0bc
14905c63bb7
1552ee3607c
hex31a516655

13326444117 has 96 divisors (see below), whose sum is σ = 23036898560. Its totient is φ = 7267138560.

The previous prime is 13326444107. The next prime is 13326444119. The reversal of 13326444117 is 71144462331.

13326444117 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 644 + 4 + 1 + 1 + 7 = 666.

It is not a de Polignac number, because 13326444117 - 27 = 13326443989 is a prime.

It is a super-2 number, since 2×133264441172 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13326444119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18795759 + ... + 18796467.

Almost surely, 213326444117 is an apocalyptic number.

It is an amenable number.

13326444117 is a deficient number, since it is larger than the sum of its proper divisors (9710454443).

13326444117 is a wasteful number, since it uses less digits than its factorization.

13326444117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 920 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 13326444117 in words is "thirteen billion, three hundred twenty-six million, four hundred forty-four thousand, one hundred seventeen".

Divisors: 1 3 7 9 21 61 63 67 73 183 201 219 427 469 511 549 603 657 709 1281 1407 1533 2127 3843 4087 4221 4453 4599 4891 4963 6381 12261 13359 14673 14889 28609 31171 34237 36783 40077 43249 44019 44667 47503 51757 85827 93513 102711 129747 142509 155271 257481 280539 298351 302743 308133 332521 362299 389241 427527 465813 895053 908229 997563 1086897 2088457 2685159 2724687 2897683 2992689 3157177 3260691 3467719 6265371 8693049 9471531 10403157 18796113 20283781 22100239 24274033 26079147 28414593 31209471 60851343 66300717 72822099 182554029 198902151 211530859 218466297 634592577 1480716013 1903777731 4442148039 13326444117