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45199198592 = 277340911827
BaseRepresentation
bin101010000110000101…
…010000100110000000
311022200000021012011022
4222012011100212000
51220031443323332
632433023405012
73160035564122
oct520605204600
9138600235138
1045199198592
1118194850989
128915153768
134354277732
14228acc3212
15129818a212
hexa86150980

45199198592 has 64 divisors (see below), whose sum is σ = 91509687600. Its totient is φ = 22233636864.

The previous prime is 45199198589. The next prime is 45199198621. The reversal of 45199198592 is 29589199154.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 3815783 + ... + 3827609.

Almost surely, 245199198592 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 45199198592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45754843800).

45199198592 is an abundant number, since it is smaller than the sum of its proper divisors (46310489008).

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

45199198592 is a wasteful number, since it uses less digits than its factorization.

45199198592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323 (or 12311 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 62.

The spelling of 45199198592 in words is "forty-five billion, one hundred ninety-nine million, one hundred ninety-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 409 584 818 1168 1636 2336 3272 4672 6544 9344 11827 13088 23654 26176 29857 47308 52352 59714 94616 119428 189232 238856 378464 477712 756928 863371 955424 1513856 1726742 1910848 3453484 3821696 4837243 6906968 9674486 13813936 19348972 27627872 38697944 55255744 77395888 110511488 154791776 309583552 353118739 619167104 706237478 1412474956 2824949912 5649899824 11299799648 22599599296 45199198592