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54010241312 = 256138971129
BaseRepresentation
bin110010010011010000…
…101110000100100000
312011102001210112111212
4302103100232010200
51341103110210222
640451214525252
73621265322246
oct622320560440
9164361715455
1054010241312
11209a6411775
12a573b06828
135129838a91
14288518c796
15161198e6e2
hexc9342e120

54010241312 has 48 divisors (see below), whose sum is σ = 108355174200. Its totient is φ = 26493757440.

The previous prime is 54010241261. The next prime is 54010241347. The reversal of 54010241312 is 21314201045.

It can be written as a sum of positive squares in 4 ways, for example, as 16077225616 + 37933015696 = 126796^2 + 194764^2 .

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 7 ways as a sum of consecutive naturals, for example, 723764 + ... + 794892.

Almost surely, 254010241312 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 54010241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54177587100).

54010241312 is an abundant number, since it is smaller than the sum of its proper divisors (54344932888).

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

54010241312 is a wasteful number, since it uses less digits than its factorization.

54010241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71589 (or 71581 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 54010241312 its reverse (21314201045), we get a palindrome (75324442357).

The spelling of 54010241312 in words is "fifty-four billion, ten million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 61 122 244 389 488 778 976 1556 1952 3112 6224 12448 23729 47458 71129 94916 142258 189832 284516 379664 569032 759328 1138064 2276128 4338869 8677738 17355476 27669181 34710952 55338362 69421904 110676724 138843808 221353448 442706896 885413792 1687820041 3375640082 6751280164 13502560328 27005120656 54010241312