Search a number
-
+
55359185232 = 24313196769691
BaseRepresentation
bin110011100011101010…
…100010000101010000
312021220002001222200210
4303203222202011100
51401333422411412
641233123244120
73666565211331
oct634352420520
9167802058623
1055359185232
11215288a925a
12a88b819640
1352b314c550
1429723b0288
1516900eb83c
hexce3aa2150

55359185232 has 160 divisors (see below), whose sum is σ = 164540024320. Its totient is φ = 15896010240.

The previous prime is 55359185207. The next prime is 55359185257. The reversal of 55359185232 is 23258195355.

It is an interprime number because it is at equal distance from previous prime (55359185207) and next prime (55359185257).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759507 + ... + 829197.

It is an arithmetic number, because the mean of its divisors is an integer number (1028375152).

Almost surely, 255359185232 is an apocalyptic number.

55359185232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55359185232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82270012160).

55359185232 is an abundant number, since it is smaller than the sum of its proper divisors (109180839088).

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

55359185232 is a wasteful number, since it uses less digits than its factorization.

55359185232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69801 (or 69795 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 48.

The spelling of 55359185232 in words is "fifty-five billion, three hundred fifty-nine million, one hundred eighty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 67 76 78 104 114 134 152 156 201 208 228 247 268 304 312 402 456 494 536 624 741 804 871 912 988 1072 1273 1482 1608 1742 1976 2546 2613 2964 3216 3484 3819 3952 5092 5226 5928 6968 7638 10184 10452 11856 13936 15276 16549 20368 20904 30552 33098 41808 49647 61104 66196 69691 99294 132392 139382 198588 209073 264784 278764 397176 418146 557528 794352 836292 905983 1115056 1324129 1672584 1811966 2648258 2717949 3345168 3623932 3972387 4669297 5296516 5435898 7247864 7944774 9338594 10593032 10871796 14007891 14495728 15889548 17213677 18677188 21186064 21743592 28015782 31779096 34427354 37354376 43487184 51641031 56031564 60700861 63558192 68854708 74708752 88716643 103282062 112063128 121401722 137709416 177433286 182102583 206564124 224126256 242803444 266149929 275418832 354866572 364205166 413128248 485606888 532299858 709733144 728410332 826256496 971213776 1064599716 1153316359 1419466288 1456820664 2129199432 2306632718 2913641328 3459949077 4258398864 4613265436 6919898154 9226530872 13839796308 18453061744 27679592616 55359185232