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54250642060344 = 23333110197950881
BaseRepresentation
bin11000101010111001101100…
…01111111011010000111000
321010002022101112002212102000
430111130312033323100320
524102320303331412334
6311214222332341000
714266323324662112
oct1425346617732070
9233068345085360
1054250642060344
111631662814a394
12610217a314760
132436a76611752
14d57a607303b2
156412b4eae299
hex3157363fb438

54250642060344 has 128 divisors (see below), whose sum is σ = 155710073088000. Its totient is φ = 17483031014400.

The previous prime is 54250642060291. The next prime is 54250642060411. The reversal of 54250642060344 is 44306024605245.

It is a happy number.

54250642060344 is a `hidden beast` number, since 5 + 4 + 2 + 506 + 42 + 0 + 60 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54250642060344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2847784 + ... + 10798664.

It is an arithmetic number, because the mean of its divisors is an integer number (1216484946000).

Almost surely, 254250642060344 is an apocalyptic number.

54250642060344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54250642060344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77855036544000).

54250642060344 is an abundant number, since it is smaller than the sum of its proper divisors (101459431027656).

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

54250642060344 is a wasteful number, since it uses less digits than its factorization.

54250642060344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951946 (or 7951936 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 54250642060344 its reverse (44306024605245), we get a palindrome (98556666665589).

The spelling of 54250642060344 in words is "fifty-four trillion, two hundred fifty billion, six hundred forty-two million, sixty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1019 1116 1674 2038 2232 3057 3348 4076 6114 6696 8152 9171 12228 18342 24456 27513 31589 36684 55026 63178 73368 94767 110052 126356 189534 220104 252712 284301 379068 568602 758136 852903 1137204 1705806 2274408 3411612 6823224 7950881 15901762 23852643 31803524 47705286 63607048 71557929 95410572 143115858 190821144 214673787 246477311 286231716 429347574 492954622 572463432 739431933 858695148 985909244 1478863866 1717390296 1971818488 2218295799 2957727732 4436591598 5915455464 6654887397 8101947739 8873183196 13309774794 16203895478 17746366392 24305843217 26619549588 32407790956 48611686434 53239099176 64815581912 72917529651 97223372868 145835059302 194446745736 218752588953 251160379909 291670118604 437505177906 502320759818 583340237208 753481139727 875010355812 1004641519636 1506962279454 1750020711624 2009283039272 2260443419181 3013924558908 4520886838362 6027849117816 6781330257543 9041773676724 13562660515086 18083547353448 27125321030172 54250642060344