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80164524834 = 232311972692711
BaseRepresentation
bin100101010101000101…
…1011001001100100010
321122220210200210122100
41022222023121030202
52303134104243314
6100454351551230
75535360134562
oct1125213311442
9248823623570
1080164524834
1130aa786a019
1213652b2b516
13773724aca4
143c46964da2
152142b6bc09
hex12aa2d9322

80164524834 has 96 divisors (see below), whose sum is σ = 180939432960. Its totient is φ = 25623158400.

The previous prime is 80164524773. The next prime is 80164524857. The reversal of 80164524834 is 43842546108.

80164524834 is a `hidden beast` number, since 8 + 0 + 164 + 5 + 2 + 483 + 4 = 666.

It is a super-2 number, since 2×801645248342 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 80164524834.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29568739 + ... + 29571449.

It is an arithmetic number, because the mean of its divisors is an integer number (1884785760).

Almost surely, 280164524834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80164524834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90469716480).

80164524834 is an abundant number, since it is smaller than the sum of its proper divisors (100774908126).

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

80164524834 is a wasteful number, since it uses less digits than its factorization.

80164524834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 80164524834 in words is "eighty billion, one hundred sixty-four million, five hundred twenty-four thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 197 269 279 394 538 558 591 807 1182 1614 1773 2421 2711 3546 4842 5422 6107 8133 8339 12214 16266 16678 18321 24399 25017 36642 48798 50034 52993 54963 75051 84041 105986 109926 150102 158979 168082 252123 317958 476937 504246 534067 729259 756369 953874 1068134 1458518 1512738 1602201 1642783 2187777 3204402 3285566 4375554 4806603 4928349 6563331 9613206 9856698 13126662 14785047 16556077 22607029 29570094 33112154 45214058 49668231 67821087 99336462 135642174 143664023 149004693 203463261 287328046 298009386 406926522 430992069 861984138 1292976207 2585952414 4453584713 8907169426 13360754139 26721508278 40082262417 80164524834