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45545004450 = 232521143213977
BaseRepresentation
bin101010011010101100…
…011001110110100010
311100120002221221121200
4222122230121312202
51221234010120300
632531215302030
73201435102351
oct523254316642
9140502857550
1045545004450
1118351a70a50
1289b0b1a916
1343aaac289a
1422c0bbb998
1512b86e6200
hexa9ab19da2

45545004450 has 144 divisors (see below), whose sum is σ = 136593284256. Its totient is φ = 10784390400.

The previous prime is 45545004413. The next prime is 45545004457. The reversal of 45545004450 is 5440054554.

45545004450 is a `hidden beast` number, since 4 + 554 + 50 + 0 + 4 + 4 + 50 = 666.

45545004450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45545004457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105862 + ... + 319838.

It is an arithmetic number, because the mean of its divisors is an integer number (948564474).

Almost surely, 245545004450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45545004450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68296642128).

45545004450 is an abundant number, since it is smaller than the sum of its proper divisors (91048279806).

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

45545004450 is a wasteful number, since it uses less digits than its factorization.

45545004450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214049 (or 214041 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 45545004450 in words is "forty-five billion, five hundred forty-five million, four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 43 45 50 55 66 75 86 90 99 110 129 150 165 198 215 225 258 275 330 387 430 450 473 495 550 645 774 825 946 990 1075 1290 1419 1650 1935 2150 2365 2475 2838 3225 3870 4257 4730 4950 6450 7095 8514 9675 11825 14190 19350 21285 23650 35475 42570 70950 106425 212850 213977 427954 641931 1069885 1283862 1925793 2139770 2353747 3209655 3851586 4707494 5349425 6419310 7061241 9201011 9628965 10698850 11768735 14122482 16048275 18402022 19257930 21183723 23537470 27603033 32096550 35306205 42367446 46005055 48144825 55206066 58843675 70612410 82809099 92010110 96289650 101211121 105918615 117687350 138015165 165618198 176531025 202422242 211837230 230025275 276030330 303633363 353062050 414045495 460050550 506055605 529593075 607266726 690075825 828090990 910900089 1012111210 1059186150 1380151650 1518166815 1821800178 2070227475 2530278025 3036333630 4140454950 4554500445 5060556050 7590834075 9109000890 15181668150 22772502225 45545004450