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54683041824 = 2532829229037
BaseRepresentation
bin110010111011010111…
…010000000000100000
312020010221210100022100
4302323113100000200
51343442324314244
641042051210400
73644045120625
oct627327200040
9166127710270
1054683041824
1121211173754
12a7212a6a00
135206043aa8
14290a68634c
151650a8cb69
hexcbb5d0020

54683041824 has 72 divisors (see below), whose sum is σ = 155693161260. Its totient is φ = 18205613568.

The previous prime is 54683041771. The next prime is 54683041859. The reversal of 54683041824 is 42814038645.

54683041824 is a `hidden beast` number, since 5 + 468 + 3 + 0 + 4 + 182 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52505139600 + 2177902224 = 229140^2 + 46668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 54683041824.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124234 + ... + 353270.

Almost surely, 254683041824 is an apocalyptic number.

It is an amenable number.

54683041824 is an abundant number, since it is smaller than the sum of its proper divisors (101010119436).

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

54683041824 is a wasteful number, since it uses less digits than its factorization.

54683041824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229882 (or 229871 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 54683041824 in words is "fifty-four billion, six hundred eighty-three million, forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 829 1658 2487 3316 4974 6632 7461 9948 13264 14922 19896 26528 29844 39792 59688 79584 119376 229037 238752 458074 687111 916148 1374222 1832296 2061333 2748444 3664592 4122666 5496888 7329184 8245332 10993776 16490664 21987552 32981328 65962656 189871673 379743346 569615019 759486692 1139230038 1518973384 1708845057 2278460076 3037946768 3417690114 4556920152 6075893536 6835380228 9113840304 13670760456 18227680608 27341520912 54683041824