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45551045100 = 223521141336667
BaseRepresentation
bin101010011011000011…
…011100100111101100
311100120112022211211110
4222123003130213230
51221242031420400
632531552552020
73201540331521
oct523303344754
9140515284743
1045551045100
1118355417420
1289b2b52610
1343ac129232
1422c1911148
1512b8edae50
hexa9b0dc9ec

45551045100 has 144 divisors (see below), whose sum is σ = 147282823296. Its totient is φ = 10773312000.

The previous prime is 45551045021. The next prime is 45551045107. The reversal of 45551045100 is 154015554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45551045107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33034 + ... + 303633.

It is an arithmetic number, because the mean of its divisors is an integer number (1022797384).

Almost surely, 245551045100 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 45551045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73641411648).

45551045100 is an abundant number, since it is smaller than the sum of its proper divisors (101731778196).

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

45551045100 is a wasteful number, since it uses less digits than its factorization.

45551045100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336736 (or 336729 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 45551045100 in words is "forty-five billion, five hundred fifty-one million, forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 41 44 50 55 60 66 75 82 100 110 123 132 150 164 165 205 220 246 275 300 330 410 451 492 550 615 660 820 825 902 1025 1100 1230 1353 1650 1804 2050 2255 2460 2706 3075 3300 4100 4510 5412 6150 6765 9020 11275 12300 13530 22550 27060 33825 45100 67650 135300 336667 673334 1010001 1346668 1683335 2020002 3366670 3703337 4040004 5050005 6733340 7406674 8416675 10100010 11110011 13803347 14813348 16833350 18516685 20200020 22220022 25250025 27606694 33666700 37033370 41410041 44440044 50500050 55213388 55550055 69016735 74066740 82820082 92583425 101000100 111100110 138033470 151836817 165640164 185166850 207050205 222200220 276066940 277750275 303673634 345083675 370333700 414100410 455510451 555500550 607347268 690167350 759184085 828200820 911020902 1035251025 1111001100 1380334700 1518368170 1822041804 2070502050 2277552255 3036736340 3795920425 4141004100 4555104510 7591840850 9110209020 11387761275 15183681700 22775522550 45551045100