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45524531712 = 293114165717
BaseRepresentation
bin101010011001011110…
…010011101000000000
311100111200102211022010
4222121132103220000
51221213240003322
632525204412520
73201066064152
oct523136235000
9140450384263
1045524531712
1118341458530
1289a60a7140
1343a67a523a
1422bc1acad2
1512b6a0020c
hexa99793a00

45524531712 has 160 divisors (see below), whose sum is σ = 135534700224. Its totient is φ = 13458636800.

The previous prime is 45524531707. The next prime is 45524531719. The reversal of 45524531712 is 21713542554.

It is not an unprimeable number, because it can be changed into a prime (45524531719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659878 + ... + 725594.

Almost surely, 245524531712 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 45524531712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67767350112).

45524531712 is an abundant number, since it is smaller than the sum of its proper divisors (90010168512).

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

45524531712 is a wasteful number, since it uses less digits than its factorization.

45524531712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65790 (or 65774 counting only the distinct ones).

The product of its digits is 168000, while the sum is 39.

The spelling of 45524531712 in words is "forty-five billion, five hundred twenty-four million, five hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 256 264 328 352 384 451 492 512 528 656 704 768 902 984 1056 1312 1353 1408 1536 1804 1968 2112 2624 2706 2816 3608 3936 4224 5248 5412 5632 7216 7872 8448 10496 10824 14432 15744 16896 20992 21648 28864 31488 43296 57728 62976 65717 86592 115456 131434 173184 197151 230912 262868 346368 394302 525736 692736 722887 788604 1051472 1445774 1577208 2102944 2168661 2694397 2891548 3154416 4205888 4337322 5388794 5783096 6308832 8083191 8411776 8674644 10777588 11566192 12617664 16166382 16823552 17349288 21555176 23132384 25235328 29638367 32332764 33647104 34698576 43110352 46264768 50470656 59276734 64665528 69397152 86220704 88915101 92529536 100941312 118553468 129331056 138794304 172441408 177830202 185059072 237106936 258662112 277588608 344882816 355660404 370118144 474213872 517324224 555177216 689765632 711320808 948427744 1034648448 1110354432 1379531264 1422641616 1896855488 2069296896 2845283232 3793710976 4138593792 5690566464 7587421952 11381132928 15174843904 22762265856 45524531712