Search a number
-
+
66233286912 = 2831338317321
BaseRepresentation
bin111101101011110011…
…111100000100000000
320022221220121120220110
4331223303330010000
52041121210140122
650232133111320
74533215435562
oct755363740400
9208856546813
1066233286912
11260a8a66851
1210a05488540
136326c66340
1432c466b332
151ac9abc90c
hexf6bcfc100

66233286912 has 144 divisors (see below), whose sum is σ = 190343559168. Its totient is φ = 20325089280.

The previous prime is 66233286877. The next prime is 66233286953. The reversal of 66233286912 is 21968233266.

66233286912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3815212 + ... + 3832532.

It is an arithmetic number, because the mean of its divisors is an integer number (1321830272).

Almost surely, 266233286912 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 66233286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95171779584).

66233286912 is an abundant number, since it is smaller than the sum of its proper divisors (124110272256).

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

66233286912 is a wasteful number, since it uses less digits than its factorization.

66233286912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17736 (or 17722 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The spelling of 66233286912 in words is "sixty-six billion, two hundred thirty-three million, two hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 383 384 416 624 766 768 832 1149 1248 1532 1664 2298 2496 3064 3328 4596 4979 4992 6128 9192 9958 9984 12256 14937 17321 18384 19916 24512 29874 34642 36768 39832 49024 51963 59748 69284 73536 79664 98048 103926 119496 138568 147072 159328 207852 225173 238992 277136 294144 318656 415704 450346 477984 554272 637312 675519 831408 900692 955968 1108544 1274624 1351038 1662816 1801384 1911936 2217088 2702076 3325632 3602768 3823872 4434176 5404152 6633943 6651264 7205536 10808304 13267886 13302528 14411072 19901829 21616608 26535772 28822144 39803658 43233216 53071544 57644288 79607316 86241259 86466432 106143088 159214632 172482518 172932864 212286176 258723777 318429264 344965036 424572352 517447554 636858528 689930072 849144704 1034895108 1273717056 1379860144 1698289408 2069790216 2547434112 2759720288 4139580432 5094868224 5519440576 8279160864 11038881152 16558321728 22077762304 33116643456 66233286912