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13113506016 = 253413389171
BaseRepresentation
bin11000011011010000…
…00011100011100000
31020211220101010110000
430031220003203200
5203324024143031
610005123540000
7642651650652
oct141550034340
936756333400
1013113506016
11561a261186
12265b82a600
13130ca63b20
148c58746d2
1551b3c33e6
hex30da038e0

13113506016 has 120 divisors (see below), whose sum is σ = 41533214184. Its totient is φ = 4034914560.

The previous prime is 13113505981. The next prime is 13113506069. The reversal of 13113506016 is 61060531131.

13113506016 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 50 + 601 + 6 = 666.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 160890 + ... + 228281.

Almost surely, 213113506016 is an apocalyptic number.

13113506016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13113506016 is an abundant number, since it is smaller than the sum of its proper divisors (28419708168).

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

13113506016 is a wasteful number, since it uses less digits than its factorization.

13113506016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389206 (or 389189 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 13113506016 in words is "thirteen billion, one hundred thirteen million, five hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 389171 778342 1167513 1556684 2335026 3113368 3502539 4670052 5059223 6226736 7005078 9340104 10118446 10507617 12453472 14010156 15177669 18680208 20236892 21015234 28020312 30355338 31522851 37360416 40473784 42030468 45533007 56040624 60710676 63045702 80947568 84060936 91066014 112081248 121421352 126091404 136599021 161895136 168121872 182132028 242842704 252182808 273198042 336243744 364264056 409797063 485685408 504365616 546396084 728528112 819594126 1008731232 1092792168 1457056224 1639188252 2185584336 3278376504 4371168672 6556753008 13113506016