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4458077316 = 22327112955457
BaseRepresentation
bin1000010011011100…
…01101110010000100
3102111200122210101200
410021232031302010
533112231433231
62014212022500
7215322013650
oct41156156204
912450583350
104458077316
111988517520
12a45001a30
135607b8a94
14304115a60
151b15abbe6
hex109b8dc84

4458077316 has 144 divisors (see below), whose sum is σ = 14534432640. Its totient is φ = 1117992960.

The previous prime is 4458077251. The next prime is 4458077321. The reversal of 4458077316 is 6137708544.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52660 + ... + 108116.

It is an arithmetic number, because the mean of its divisors is an integer number (100933560).

Almost surely, 24458077316 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 4458077316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267216320).

4458077316 is an abundant number, since it is smaller than the sum of its proper divisors (10076355324).

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

4458077316 is a wasteful number, since it uses less digits than its factorization.

4458077316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55514 (or 55509 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4458077316 is about 66768.8349157000. The cubic root of 4458077316 is about 1645.8207445884.

The spelling of 4458077316 in words is "four billion, four hundred fifty-eight million, seventy-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 29 33 36 42 44 58 63 66 77 84 87 99 116 126 132 154 174 198 203 231 252 261 308 319 348 396 406 462 522 609 638 693 812 924 957 1044 1218 1276 1386 1827 1914 2233 2436 2772 2871 3654 3828 4466 5742 6699 7308 8932 11484 13398 20097 26796 40194 55457 80388 110914 166371 221828 332742 388199 499113 610027 665484 776398 998226 1164597 1220054 1552796 1608253 1830081 1996452 2329194 2440108 3216506 3493791 3660162 4270189 4658388 4824759 5490243 6433012 6987582 7320324 8540378 9649518 10980486 11257771 12810567 13975164 14474277 17080756 17690783 19299036 21960972 22515542 25621134 28948554 33773313 35381566 38431701 45031084 51242268 53072349 57897108 67546626 70763132 76863402 101319939 106144698 123835481 135093252 153726804 159217047 202639878 212289396 247670962 318434094 371506443 405279756 495341924 636868188 743012886 1114519329 1486025772 2229038658 4458077316