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53446816104 = 2331137921179
BaseRepresentation
bin110001110001101011…
…011011000101101000
312002221210121120102120
4301301223123011220
51333424341103404
640315250431240
73601314304203
oct616153330550
9162853546376
1053446816104
1120737375000
12a437292520
135069ba7996
14283040693a
1515cc2989d9
hexc71adb168

53446816104 has 128 divisors (see below), whose sum is σ = 148836096000. Its totient is φ = 15990237120.

The previous prime is 53446816057. The next prime is 53446816109. The reversal of 53446816104 is 40161864435.

53446816104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53446816109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2512987 + ... + 2534165.

It is an arithmetic number, because the mean of its divisors is an integer number (1162782000).

Almost surely, 253446816104 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 53446816104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74418048000).

53446816104 is an abundant number, since it is smaller than the sum of its proper divisors (95389279896).

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

53446816104 is a wasteful number, since it uses less digits than its factorization.

53446816104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21300 (or 21274 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 53446816104 in words is "fifty-three billion, four hundred forty-six million, eight hundred sixteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 121 132 158 237 242 264 316 363 474 484 632 726 869 948 968 1331 1452 1738 1896 2607 2662 2904 3476 3993 5214 5324 6952 7986 9559 10428 10648 15972 19118 20856 21179 28677 31944 38236 42358 57354 63537 76472 84716 105149 114708 127074 169432 210298 229416 232969 254148 315447 420596 465938 508296 630894 698907 841192 931876 1261788 1397814 1673141 1863752 2523576 2562659 2795628 3346282 5019423 5125318 5591256 6692564 7687977 10038846 10250636 13385128 15375954 18404551 20077692 20501272 28189249 30751908 36809102 40155384 55213653 56378498 61503816 73618204 84567747 110427306 112756996 147236408 169135494 202450061 220854612 225513992 338270988 404900122 441709224 607350183 676541976 809800244 1214700366 1619600488 2226950671 2429400732 4453901342 4858801464 6680852013 8907802684 13361704026 17815605368 26723408052 53446816104