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166428419976 = 233271325401163
BaseRepresentation
bin1001101011111111101…
…0000010011110001000
3120220120200102201101200
42122333322002132020
510211321133414401
6204242310344200
715011152141260
oct2327772023610
9526520381350
10166428419976
1164644560245
122830865b060
1312904017a20
1480ab5a47a0
1544e0eee686
hex26bfe82788

166428419976 has 96 divisors (see below), whose sum is σ = 554761421760. Its totient is φ = 43893207936.

The previous prime is 166428419947. The next prime is 166428419987. The reversal of 166428419976 is 679914824661.

166428419976 is a `hidden beast` number, since 16 + 6 + 428 + 4 + 199 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12694030 + ... + 12707133.

It is an arithmetic number, because the mean of its divisors is an integer number (5778764810).

Almost surely, 2166428419976 is an apocalyptic number.

It is an amenable number.

166428419976 is an abundant number, since it is smaller than the sum of its proper divisors (388333001784).

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

166428419976 is a wasteful number, since it uses less digits than its factorization.

166428419976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25401195 (or 25401188 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 166428419976 in words is "one hundred sixty-six billion, four hundred twenty-eight million, four hundred nineteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 25401163 50802326 76203489 101604652 152406978 177808141 203209304 228610467 304813956 330215119 355616282 457220934 533424423 609627912 660430238 711232564 914441868 990645357 1066848846 1320860476 1422465128 1600273269 1828883736 1981290714 2133697692 2311505833 2641720952 2971936071 3200546538 3962581428 4267395384 4623011666 5943872142 6401093076 6934517499 7925162856 9246023332 11887744284 12802186152 13869034998 18492046664 20803552497 23775488568 27738069996 41607104994 55476139992 83214209988 166428419976