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83056335324765 = 35115352999179203
BaseRepresentation
bin10010111000101000001111…
…010111010000011001011101
3101220002002220210222022110220
4102320220033113100121131
541341243333320343030
6452351315333351553
723331423262541655
oct2270501727203135
9356062823868426
1083056335324765
1124511aa3020160
129394a5a7985b9
133746242b161ca
141671d3b757365
15990744ce5a10
hex4b8a0f5d065d

83056335324765 has 64 divisors (see below), whose sum is σ = 147709972224000. Its totient is φ = 39508965999360.

The previous prime is 83056335324763. The next prime is 83056335324803. The reversal of 83056335324765 is 56742353365038.

It is not a de Polignac number, because 83056335324765 - 21 = 83056335324763 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83056335324699 and 83056335324708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83056335324763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463386654 + ... + 463565856.

It is an arithmetic number, because the mean of its divisors is an integer number (2307968316000).

Almost surely, 283056335324765 is an apocalyptic number.

It is an amenable number.

83056335324765 is a deficient number, since it is larger than the sum of its proper divisors (64653636899235).

83056335324765 is a wasteful number, since it uses less digits than its factorization.

83056335324765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232274.

The product of its (nonzero) digits is 163296000, while the sum is 60.

The spelling of 83056335324765 in words is "eighty-three trillion, fifty-six billion, three hundred thirty-five million, three hundred twenty-four thousand, seven hundred sixty-five".

Divisors: 1 3 5 11 15 33 53 55 159 165 265 583 795 1749 2915 8745 52999 158997 179203 264995 537609 582989 794985 896015 1748967 1971233 2688045 2808947 2914945 5913699 8426841 8744835 9497759 9856165 14044735 28493277 29568495 30898417 42134205 47488795 92695251 104475349 142466385 154492085 313426047 463476255 522376745 1567130235 9497579797 28492739391 47487898985 104473377767 142463696955 313420133301 503371729241 522366888835 1510115187723 1567100666505 2516858646205 5537089021651 7550575938615 16611267064953 27685445108255 83056335324765