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54098362448 = 24133749914087
BaseRepresentation
bin110010011000100000…
…111000000001010000
312011122012121112222122
4302120200320001100
51341243140044243
640504043353412
73623415331214
oct623040700120
9164565545878
1054098362448
1120a4112a459
12a599522868
135141b80770
142892b6a944
151619599668
hexc98838050

54098362448 has 80 divisors (see below), whose sum is σ = 116169648000. Its totient is φ = 24243245568.

The previous prime is 54098362433. The next prime is 54098362463. The reversal of 54098362448 is 84426389045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54098362433) and next prime (54098362463).

It is a self number, because there is not a number n which added to its sum of digits gives 54098362448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3833261 + ... + 3847347.

It is an arithmetic number, because the mean of its divisors is an integer number (1452120600).

Almost surely, 254098362448 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 54098362448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58084824000).

54098362448 is an abundant number, since it is smaller than the sum of its proper divisors (62071285552).

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

54098362448 is a wasteful number, since it uses less digits than its factorization.

54098362448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14644 (or 14638 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 53.

The spelling of 54098362448 in words is "fifty-four billion, ninety-eight million, three hundred sixty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 499 592 962 998 1924 1996 3848 3992 6487 7696 7984 12974 14087 18463 25948 28174 36926 51896 56348 73852 103792 112696 147704 183131 225392 240019 295408 366262 480038 521219 732524 960076 1042438 1465048 1920152 2084876 2930096 3840304 4169752 6775847 7029413 8339504 13551694 14058826 27103388 28117652 54206776 56235304 91382369 108413552 112470608 182764738 260088281 365529476 520176562 731058952 1040353124 1462117904 2080706248 3381147653 4161412496 6762295306 13524590612 27049181224 54098362448