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54244242810 = 2345281238321
BaseRepresentation
bin110010100001001101…
…010111010101111010
312012000101010001020000
4302201031113111322
51342043011232220
640530334213430
73630136312332
oct624115272572
9165011101200
1054244242810
112100650853a
12a61a354276
1351661694c4
1428a82a20c2
1516272b3390
hexca135757a

54244242810 has 80 divisors (see below), whose sum is σ = 146376419112. Its totient is φ = 14413593600.

The previous prime is 54244242803. The next prime is 54244242839. The reversal of 54244242810 is 1824244245.

It can be written as a sum of positive squares in 4 ways, for example, as 52790117121 + 1454125689 = 229761^2 + 38133^2 .

It is a super-2 number, since 2×542442428102 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 108450 + ... + 346770.

Almost surely, 254244242810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54244242810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73188209556).

54244242810 is an abundant number, since it is smaller than the sum of its proper divisors (92132176302).

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

54244242810 is a wasteful number, since it uses less digits than its factorization.

54244242810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238621 (or 238612 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 54244242810 in words is "fifty-four billion, two hundred forty-four million, two hundred forty-two thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 281 405 562 810 843 1405 1686 2529 2810 4215 5058 7587 8430 12645 15174 22761 25290 37935 45522 75870 113805 227610 238321 476642 714963 1191605 1429926 2144889 2383210 3574815 4289778 6434667 7149630 10724445 12869334 19304001 21448890 32173335 38608002 64346670 66968201 96520005 133936402 193040010 200904603 334841005 401809206 602713809 669682010 1004523015 1205427618 1808141427 2009046030 3013569045 3616282854 5424424281 6027138090 9040707135 10848848562 18081414270 27122121405 54244242810