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77092689856 = 26713109121441
BaseRepresentation
bin100011111001100010…
…1010001011111000000
321100222201111102020111
41013303011101133000
52230341212033411
655225455521104
75366300023510
oct1076305213700
9240881442214
1077092689856
112a7708a4a26
1212b36229194
137367a04960
143a349bd840
152013138721
hex11f31517c0

77092689856 has 112 divisors (see below), whose sum is σ = 190013010880. Its totient is φ = 30218158080.

The previous prime is 77092689841. The next prime is 77092689901. The reversal of 77092689856 is 65898629077.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 77092689791 and 77092689800.

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 15 ways as a sum of consecutive naturals, for example, 574096 + ... + 695536.

It is an arithmetic number, because the mean of its divisors is an integer number (1696544740).

Almost surely, 277092689856 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 77092689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95006505440).

77092689856 is an abundant number, since it is smaller than the sum of its proper divisors (112920321024).

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

77092689856 is a wasteful number, since it uses less digits than its factorization.

77092689856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121582 (or 121572 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 67.

The spelling of 77092689856 in words is "seventy-seven billion, ninety-two million, six hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 109 112 182 208 218 224 364 416 436 448 728 763 832 872 1417 1456 1526 1744 2834 2912 3052 3488 5668 5824 6104 6976 9919 11336 12208 19838 22672 24416 39676 45344 48832 79352 90688 121441 158704 242882 317408 485764 634816 850087 971528 1578733 1700174 1943056 3157466 3400348 3886112 6314932 6800696 7772224 11051131 12629864 13237069 13601392 22102262 25259728 26474138 27202784 44204524 50519456 52948276 54405568 88409048 92659483 101038912 105896552 172081897 176818096 185318966 211793104 344163794 353636192 370637932 423586208 688327588 707272384 741275864 847172416 1204573279 1376655176 1482551728 2409146558 2753310352 2965103456 4818293116 5506620704 5930206912 9636586232 11013241408 19273172464 38546344928 77092689856