Search a number
-
+
65688047488 = 277797431249
BaseRepresentation
bin111101001011010100…
…000000111110000000
320021112220122120000201
4331023110000332000
52034012120004423
650102054454544
74513545122350
oct751324007600
9207486576021
1065688047488
1125949210358
1210892964454
13626b00196b
14327209ab60
151a96cba2ad
hexf4b500f80

65688047488 has 128 divisors (see below), whose sum is σ = 151776000000. Its totient is φ = 27736031232.

The previous prime is 65688047479. The next prime is 65688047507. The reversal of 65688047488 is 88474088656.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×656880474882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52591888 + ... + 52593136.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750000).

Almost surely, 265688047488 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 65688047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888000000).

65688047488 is an abundant number, since it is smaller than the sum of its proper divisors (86087952512).

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

65688047488 is a wasteful number, since it uses less digits than its factorization.

65688047488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 64.

The spelling of 65688047488 in words is "sixty-five billion, six hundred eighty-eight million, forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 316 448 553 632 743 896 1106 1249 1264 1486 2212 2498 2528 2972 4424 4996 5056 5201 5944 8743 8848 9992 10112 10402 11888 17486 17696 19984 20804 23776 34972 35392 39968 41608 47552 58697 69944 70784 79936 83216 95104 98671 117394 139888 159872 166432 197342 234788 279776 332864 394684 410879 469576 559552 665728 690697 789368 821758 928007 939152 1119104 1381394 1578736 1643516 1856014 1878304 2762788 3157472 3287032 3712028 3756608 5525576 6314944 6496049 6574064 7424056 7513216 11051152 12629888 12992098 13148128 14848112 22102304 25984196 26296256 29696224 44204608 51968392 52592512 59392448 73312553 88409216 103936784 118784896 146625106 207873568 293250212 415747136 513187871 586500424 831494272 1026375742 1173000848 2052751484 2346001696 4105502968 4692003392 8211005936 9384006784 16422011872 32844023744 65688047488