Search a number
-
+
66620756224 = 2811291395869
BaseRepresentation
bin111110000010111010…
…000001000100000000
320100221220201001212201
4332002322001010000
52042414403144344
650334414002544
74545632040661
oct760272010400
9210856631781
1066620756224
1126287753220
1210ab31a6454
13638930b219
14331dccd368
151aedb084d4
hexf82e81100

66620756224 has 144 divisors (see below), whose sum is σ = 151178328000. Its totient is φ = 29022658560.

The previous prime is 66620756219. The next prime is 66620756249. The reversal of 66620756224 is 42265702666.

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, 11348362 + ... + 11354230.

It is an arithmetic number, because the mean of its divisors is an integer number (1049849500).

Almost surely, 266620756224 is an apocalyptic number.

66620756224 is a gapful number since it is divisible by the number (64) 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 66620756224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75589164000).

66620756224 is an abundant number, since it is smaller than the sum of its proper divisors (84557571776).

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

66620756224 is a wasteful number, since it uses less digits than its factorization.

66620756224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 66620756224 in words is "sixty-six billion, six hundred twenty million, seven hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 139 176 232 256 278 319 352 464 556 638 704 928 1112 1276 1408 1529 1856 2224 2552 2816 3058 3712 4031 4448 5104 5869 6116 7424 8062 8896 10208 11738 12232 16124 17792 20416 23476 24464 32248 35584 40832 44341 46952 48928 64496 64559 81664 88682 93904 97856 128992 129118 170201 177364 187808 195712 257984 258236 340402 354728 375616 391424 515968 516472 680804 709456 751232 815791 1031936 1032944 1361608 1418912 1502464 1631582 1872211 2065888 2723216 2837824 3263164 3744422 4131776 5446432 5675648 6526328 7488844 8263552 8973701 10892864 11351296 13052656 14977688 16527104 17947402 21785728 23657939 26105312 29955376 35894804 43571456 47315878 52210624 59910752 71789608 94631756 104421248 119821504 143579216 189263512 208842496 239643008 260237329 287158432 378527024 479286016 520474658 574316864 757054048 1040949316 1148633728 1514108096 2081898632 2297267456 3028216192 4163797264 6056432384 8327594528 16655189056 33310378112 66620756224