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45641429208 = 2333319197417
BaseRepresentation
bin101010100000011100…
…001111000011011000
311100210211101211112000
4222200130033003120
51221433201213313
632544542121000
73204015514164
oct524034170330
9140724354460
1045641429208
11183a1440331
128a19280160
1343c4a83c5b
1422cd91bca4
1512c1de1673
hexaa070f0d8

45641429208 has 128 divisors (see below), whose sum is σ = 131031552000. Its totient is φ = 14705038080.

The previous prime is 45641429117. The next prime is 45641429219. The reversal of 45641429208 is 80292414654.

It is a happy number.

45641429208 is a `hidden beast` number, since 4 + 5 + 6 + 414 + 29 + 208 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6149916 + ... + 6157332.

It is an arithmetic number, because the mean of its divisors is an integer number (1023684000).

Almost surely, 245641429208 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 45641429208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65515776000).

45641429208 is an abundant number, since it is smaller than the sum of its proper divisors (85390122792).

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

45641429208 is a wasteful number, since it uses less digits than its factorization.

45641429208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45641429208 in words is "forty-five billion, six hundred forty-one million, four hundred twenty-nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 919 1116 1674 1838 2232 2757 3348 3676 5514 6696 7352 7417 8271 11028 14834 16542 22056 22251 24813 28489 29668 33084 44502 49626 56978 59336 66168 66753 85467 89004 99252 113956 133506 170934 178008 198504 200259 227912 229927 256401 267012 341868 400518 459854 512802 534024 683736 689781 769203 801036 919708 1025604 1379562 1538406 1602072 1839416 2051208 2069343 2759124 3076812 4138686 5518248 6153624 6208029 6816223 8277372 12416058 13632446 16554744 20448669 24832116 27264892 40897338 49664232 54529784 61346007 81794676 122692014 163589352 184038021 211302913 245384028 368076042 422605826 490768056 633908739 736152084 845211652 1267817478 1472304168 1690423304 1901726217 2535634956 3803452434 5071269912 5705178651 7606904868 11410357302 15213809736 22820714604 45641429208