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54233077344 = 2534154125469
BaseRepresentation
bin110010100000100010…
…110001011001100000
312011222121002210002020
4302200202301121200
51342032131433334
640525255021440
73626642360055
oct624042613140
9164877083066
1054233077344
1121000181786
12a61666a880
135163a5a314
1428a69d702c
151626309e49
hexca08b1660

54233077344 has 96 divisors (see below), whose sum is σ = 146109368160. Its totient is φ = 17603481600.

The previous prime is 54233077331. The next prime is 54233077369. The reversal of 54233077344 is 44377033245.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 54233077296 and 54233077305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2116642 + ... + 2142110.

It is an arithmetic number, because the mean of its divisors is an integer number (1521972585).

Almost surely, 254233077344 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 54233077344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73054684080).

54233077344 is an abundant number, since it is smaller than the sum of its proper divisors (91876290816).

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

54233077344 is a wasteful number, since it uses less digits than its factorization.

54233077344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26064 (or 26056 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 42.

The spelling of 54233077344 in words is "fifty-four billion, two hundred thirty-three million, seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 541 656 984 1082 1312 1623 1968 2164 3246 3936 4328 6492 8656 12984 17312 22181 25469 25968 44362 50938 51936 66543 76407 88724 101876 133086 152814 177448 203752 266172 305628 354896 407504 532344 611256 709792 815008 1044229 1064688 1222512 2088458 2129376 2445024 3132687 4176916 6265374 8353832 12530748 13778729 16707664 25061496 27557458 33415328 41336187 50122992 55114916 82672374 100245984 110229832 165344748 220459664 330689496 440919328 564927889 661378992 1129855778 1322757984 1694783667 2259711556 3389567334 4519423112 6779134668 9038846224 13558269336 18077692448 27116538672 54233077344