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77485403044 = 22725923372
BaseRepresentation
bin100100000101001111…
…1010110101110100100
321102000002110022110101
41020022133112232210
52232142230344134
655332445033444
75412106026100
oct1101237265644
9242002408411
1077485403044
112a952543185
1213025855884
1373cb19461a
143a70c08900
15203785ce14
hex120a7d6ba4

77485403044 has 81 divisors (see below), whose sum is σ = 160934530113. Its totient is φ = 32548311936.

The previous prime is 77485403027. The next prime is 77485403057. The reversal of 77485403044 is 44030458477.

The square root of 77485403044 is 278362.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20894702500 + 56590700544 = 144550^2 + 237888^2 .

It is a super-2 number, since 2×774854030442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77485402985 and 77485403003.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229926844 + ... + 229927180.

Almost surely, 277485403044 is an apocalyptic number.

77485403044 is the 278362-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77485403044

77485403044 is an abundant number, since it is smaller than the sum of its proper divisors (83449127069).

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

77485403044 is an equidigital number, since it uses as much as digits as its factorization.

77485403044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 46.

The spelling of 77485403044 in words is "seventy-seven billion, four hundred eighty-five million, four hundred three thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 337 413 674 826 1348 1652 2359 2891 3481 4718 5782 6962 9436 11564 13924 16513 19883 24367 33026 39766 48734 66052 79532 97468 113569 139181 170569 227138 278362 341138 454276 556724 682276 794983 974267 1173097 1589966 1948534 2346194 3179932 3897068 4692388 5564881 6700571 8211679 11129762 13401142 16423358 22259524 26802284 32846716 46903997 57481753 93807994 114963506 187615988 229927012 328327979 395333689 656655958 790667378 1313311916 1581334756 2767335823 5534671646 11069343292 19371350761 38742701522 77485403044