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16145266956 = 22372132162473
BaseRepresentation
bin11110000100101010…
…10011100100001100
31112200012011112121020
433002111103210030
5231031142020311
611230025034140
71111044335100
oct170225234414
945605145536
1016145266956
116935645035
123167025950
1316a3bb8a00
14ad2387900
1564763cc06
hex3c255390c

16145266956 has 108 divisors (see below), whose sum is σ = 47453456232. Its totient is φ = 4258066176.

The previous prime is 16145266937. The next prime is 16145266961. The reversal of 16145266956 is 65966254161.

It is a junction number, because it is equal to n+sod(n) for n = 16145266899 and 16145266908.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18136 + ... + 180608.

It is an arithmetic number, because the mean of its divisors is an integer number (439383854).

Almost surely, 216145266956 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 16145266956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23726728116).

16145266956 is an abundant number, since it is smaller than the sum of its proper divisors (31308189276).

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

16145266956 is a wasteful number, since it uses less digits than its factorization.

16145266956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162520 (or 162498 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The spelling of 16145266956 in words is "sixteen billion, one hundred forty-five million, two hundred sixty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 169 182 196 273 294 338 364 507 546 588 637 676 1014 1092 1183 1274 1911 2028 2366 2548 3549 3822 4732 7098 7644 8281 14196 16562 24843 33124 49686 99372 162473 324946 487419 649892 974838 1137311 1949676 2112149 2274622 3411933 4224298 4549244 6336447 6823866 7961177 8448596 12672894 13647732 14785043 15922354 23883531 25345788 27457937 29570086 31844708 44355129 47767062 54915874 59140172 82373811 88710258 95534124 103495301 109831748 164747622 177420516 192205559 206990602 310485903 329495244 384411118 413981204 576616677 620971806 768822236 1153233354 1241943612 1345438913 2306466708 2690877826 4036316739 5381755652 8072633478 16145266956