Search a number
-
+
486634015728 = 24337361744491
BaseRepresentation
bin1110001010011011010…
…01011100101111110000
31201112002100202100202000
413011031221130233300
530433111302000403
61011320115454000
750105146612230
oct7051551345760
91645070670660
10486634015728
11178420240703
127a3908b7300
1336b73cb7543
14197a6029cc0
15c9d24db7a3
hex714da5cbf0

486634015728 has 160 divisors (see below), whose sum is σ = 1596842795520. Its totient is φ = 138996725760.

The previous prime is 486634015711. The next prime is 486634015739. The reversal of 486634015728 is 827510436684.

It is a happy number.

486634015728 is a `hidden beast` number, since 4 + 8 + 6 + 63 + 4 + 0 + 1 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10915563 + ... + 10960053.

It is an arithmetic number, because the mean of its divisors is an integer number (9980267472).

Almost surely, 2486634015728 is an apocalyptic number.

486634015728 is a gapful number since it is divisible by the number (48) 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 486634015728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798421397760).

486634015728 is an abundant number, since it is smaller than the sum of its proper divisors (1110208779792).

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

486634015728 is a wasteful number, since it uses less digits than its factorization.

486634015728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48132 (or 48120 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 486634015728 in words is "four hundred eighty-six billion, six hundred thirty-four million, fifteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 3617 7234 10851 14468 21702 25319 28936 32553 43404 44491 50638 57872 65106 75957 86808 88982 97659 101276 130212 133473 151914 173616 177964 195318 202552 227871 260424 266946 303828 311437 355928 390636 400419 405104 455742 520848 533892 607656 622874 683613 711856 781272 800838 911484 934311 1067784 1201257 1215312 1245748 1367226 1562544 1601676 1822968 1868622 2135568 2402514 2491496 2734452 2802933 3203352 3645936 3737244 4805028 4982992 5468904 5605866 6406704 7474488 8408799 9610056 10937808 11211732 14948976 16817598 19220112 22423464 33635196 44846928 67270392 134540784 160923947 321847894 482771841 643695788 965543682 1126467629 1287391576 1448315523 1931087364 2252935258 2574783152 2896631046 3379402887 3862174728 4344946569 4505870516 5793262092 6758805774 7724349456 8689893138 9011741032 10138208661 11586524184 13517611548 17379786276 18023482064 20276417322 23173048368 27035223096 30414625983 34759572552 40552834644 54070446192 60829251966 69519145104 81105669288 121658503932 162211338576 243317007864 486634015728