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56664721776 = 243131719127967
BaseRepresentation
bin110100110001011110…
…110000100101110000
312102021001200010011010
4310301132300211300
51412022132044101
642010441350520
74044130121325
oct646136604560
9172231603133
1056664721776
1122038838183
12ab94a98440
135460775590
142a57932b4c
151719a322d6
hexd317b0970

56664721776 has 160 divisors (see below), whose sum is σ = 167797260288. Its totient is φ = 16323194880.

The previous prime is 56664721739. The next prime is 56664721831. The reversal of 56664721776 is 67712746665.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2012145 + ... + 2040111.

Almost surely, 256664721776 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 56664721776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83898630144).

56664721776 is an abundant number, since it is smaller than the sum of its proper divisors (111132538512).

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

56664721776 is a wasteful number, since it uses less digits than its factorization.

56664721776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28199 (or 28193 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 57.

The spelling of 56664721776 in words is "fifty-six billion, six hundred sixty-four million, seven hundred twenty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 191 204 208 221 272 312 382 408 442 573 624 663 764 816 884 1146 1326 1528 1768 2292 2483 2652 3056 3247 3536 4584 4966 5304 6494 7449 9168 9741 9932 10608 12988 14898 19482 19864 25976 27967 29796 38964 39728 42211 51952 55934 59592 77928 83901 84422 111868 119184 126633 155856 167802 168844 223736 253266 335604 337688 363571 447472 475439 506532 671208 675376 727142 950878 1013064 1090713 1342416 1426317 1454284 1901756 2026128 2181426 2852634 2908568 3803512 4362852 5341697 5705268 5817136 6180707 7607024 8725704 10683394 11410536 12361414 16025091 17451408 18542121 21366788 22821072 24722828 32050182 37084242 42733576 49445656 64100364 69442061 74168484 85467152 90808849 98891312 128200728 138884122 148336968 181617698 208326183 256401456 272426547 277768244 296673936 363235396 416652366 544853094 555536488 726470792 833304732 1089706188 1111072976 1180515037 1452941584 1666609464 2179412376 2361030074 3333218928 3541545111 4358824752 4722060148 7083090222 9444120296 14166180444 18888240592 28332360888 56664721776