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45244175616 = 283331211153
BaseRepresentation
bin101010001000110000…
…110101010100000000
311022210010220021001000
4222020300311110000
51220130002104431
632441311412000
73161123101353
oct521060652400
9138703807030
1045244175616
1118208180882
128928224000
134360694763
142292c7029a
15129c0c19e6
hexa88c35500

45244175616 has 144 divisors (see below), whose sum is σ = 138111608320. Its totient is φ = 14594826240.

The previous prime is 45244175611. The next prime is 45244175621. The reversal of 45244175616 is 61657144254.

45244175616 is a `hidden beast` number, since 4 + 5 + 24 + 4 + 1 + 7 + 5 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (45244175611) and next prime (45244175621).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45244175611) 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, 108696 + ... + 319848.

Almost surely, 245244175616 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 45244175616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69055804160).

45244175616 is an abundant number, since it is smaller than the sum of its proper divisors (92867432704).

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

45244175616 is a wasteful number, since it uses less digits than its factorization.

45244175616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211209 (or 211189 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 45244175616 in words is "forty-five billion, two hundred forty-four million, one hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 5952 6696 6912 7936 8928 11904 13392 17856 23808 26784 35712 53568 71424 107136 211153 214272 422306 633459 844612 1266918 1689224 1900377 2533836 3378448 3800754 5067672 5701131 6545743 6756896 7601508 10135344 11402262 13091486 13513792 15203016 19637229 20270688 22804524 26182972 27027584 30406032 39274458 40541376 45609048 52365944 54055168 58911687 60812064 78548916 81082752 91218096 104731888 117823374 121624128 157097832 162165504 176735061 182436192 209463776 235646748 243248256 314195664 353470122 364872384 418927552 471293496 486496512 628391328 706940244 729744768 837855104 942586992 1256782656 1413880488 1459489536 1675710208 1885173984 2513565312 2827760976 3770347968 5027130624 5655521952 7540695936 11311043904 15081391872 22622087808 45244175616