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45545300442 = 23223373538423
BaseRepresentation
bin101010011010101101…
…100010000111011010
311100120010111222122100
4222122231202013122
51221234044103232
632531225504230
73201440444325
oct523255420732
9140503458570
1045545300442
1118352153374
1289b1042076
1343aab97525
1422c0c577bc
1512b8753c7c
hexa9ab621da

45545300442 has 96 divisors (see below), whose sum is σ = 106067190528. Its totient is φ = 14087513088.

The previous prime is 45545300417. The next prime is 45545300447. The reversal of 45545300442 is 24400354554.

45545300442 is a `hidden beast` number, since 45 + 545 + 30 + 0 + 4 + 42 = 666.

45545300442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45545300397 and 45545300406.

It is not an unprimeable number, because it can be changed into a prime (45545300447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5403043 + ... + 5411465.

It is an arithmetic number, because the mean of its divisors is an integer number (1104866568).

Almost surely, 245545300442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45545300442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53033595264).

45545300442 is an abundant number, since it is smaller than the sum of its proper divisors (60521890086).

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

45545300442 is a wasteful number, since it uses less digits than its factorization.

45545300442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844 (or 8841 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 45545300442 its reverse (24400354554), we get a palindrome (69945654996).

The spelling of 45545300442 in words is "forty-five billion, five hundred forty-five million, three hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 353 414 666 706 851 1059 1702 2118 2553 3177 5106 6354 7659 8119 8423 13061 15318 16238 16846 24357 25269 26122 39183 48714 50538 73071 75807 78366 117549 146142 151614 193729 235098 300403 311651 387458 581187 600806 623302 901209 934953 1162374 1743561 1802418 1869906 2703627 2804859 2973319 3487122 5407254 5609718 5946638 7167973 8919957 14335946 17839914 21503919 26759871 43007838 53519742 64511757 68386337 110012803 129023514 136772674 205159011 220025606 330038409 410318022 615477033 660076818 990115227 1230954066 1980230454 2530294469 5060588938 7590883407 15181766814 22772650221 45545300442