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54453412332 = 2232112774671063
BaseRepresentation
bin110010101101101011…
…010010000111101100
312012112221200221212100
4302231223102013230
51343010033143312
641003205335100
73635256240114
oct625553220754
9165487627770
1054453412332
1121103593710
12a678407490
13519a5b4357
1428c7d90044
15163a82e5dc
hexcadad21ec

54453412332 has 144 divisors (see below), whose sum is σ = 151166276352. Its totient is φ = 16390823040.

The previous prime is 54453412319. The next prime is 54453412333. The reversal of 54453412332 is 23321435445.

54453412332 is a `hidden beast` number, since 54 + 453 + 4 + 123 + 32 = 666.

It is a super-2 number, since 2×544534123322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54453412333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51225633 + ... + 51226695.

It is an arithmetic number, because the mean of its divisors is an integer number (1049765808).

Almost surely, 254453412332 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 54453412332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75583138176).

54453412332 is an abundant number, since it is smaller than the sum of its proper divisors (96712864020).

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

54453412332 is a wasteful number, since it uses less digits than its factorization.

54453412332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1823 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 54453412332 its reverse (23321435445), we get a palindrome (77774847777).

The spelling of 54453412332 in words is "fifty-four billion, four hundred fifty-three million, four hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 277 396 467 554 831 934 1063 1108 1401 1662 1868 2126 2493 2802 3047 3189 3324 4203 4252 4986 5137 5604 6094 6378 8406 9141 9567 9972 10274 11693 12188 12756 15411 16812 18282 19134 20548 23386 27423 30822 35079 36564 38268 46233 46772 54846 61644 70158 92466 105237 109692 129359 140316 184932 210474 258718 294451 388077 420948 496421 517436 588902 776154 883353 992842 1164231 1177804 1422949 1489263 1552308 1766706 1985684 2328462 2650059 2845898 2978526 3238961 3533412 4268847 4467789 4656924 5300118 5460631 5691796 5957052 6477922 8537694 8935578 9716883 10600236 10921262 12806541 12955844 16381893 17075388 17871156 19433766 21842524 25613082 29150649 32763786 38867532 49145679 51226164 58301298 65527572 98291358 116602596 137508617 196582716 275017234 412525851 550034468 825051702 1237577553 1512594787 1650103404 2475155106 3025189574 4537784361 4950310212 6050379148 9075568722 13613353083 18151137444 27226706166 54453412332