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6457048080 = 243578346307
BaseRepresentation
bin1100000001101111…
…01011110000010000
3121200000002000202220
412000313223300100
5101211001014310
62544420541040
7316004001030
oct60067536020
917600060686
106457048080
11281392087a
121302551780
137bb992812
144537c38c0
1527bd19670
hex180debc10

6457048080 has 160 divisors (see below), whose sum is σ = 23152518144. Its totient is φ = 1458083328.

The previous prime is 6457048079. The next prime is 6457048093. The reversal of 6457048080 is 808407546.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 116287 + ... + 162593.

Almost surely, 26457048080 is an apocalyptic number.

6457048080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6457048080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11576259072).

6457048080 is an abundant number, since it is smaller than the sum of its proper divisors (16695470064).

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

6457048080 is a wasteful number, since it uses less digits than its factorization.

6457048080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46413 (or 46407 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 6457048080 is about 80355.7594699969. The cubic root of 6457048080 is about 1862.1357591697.

The spelling of 6457048080 in words is "six billion, four hundred fifty-seven million, forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 83 84 105 112 120 140 166 168 210 240 249 280 332 336 415 420 498 560 581 664 830 840 996 1162 1245 1328 1660 1680 1743 1992 2324 2490 2905 3320 3486 3984 4648 4980 5810 6640 6972 8715 9296 9960 11620 13944 17430 19920 23240 27888 34860 46307 46480 69720 92614 138921 139440 185228 231535 277842 324149 370456 463070 555684 648298 694605 740912 926140 972447 1111368 1296596 1389210 1620745 1852280 1944894 2222736 2593192 2778420 3241490 3704560 3843481 3889788 4862235 5186384 5556840 6482980 7686962 7779576 9724470 11113680 11530443 12965960 15373924 15559152 19217405 19448940 23060886 25931920 26904367 30747848 38434810 38897880 46121772 53808734 57652215 61495696 76869620 77795760 80713101 92243544 107617468 115304430 134521835 153739240 161426202 184487088 215234936 230608860 269043670 307478480 322852404 403565505 430469872 461217720 538087340 645704808 807131010 922435440 1076174680 1291409616 1614262020 2152349360 3228524040 6457048080