Search a number
-
+
66064896 = 293759
BaseRepresentation
bin1111110000000…
…1001000000000
311121022110000000
43330001020000
5113403034041
610320000000
71431354012
oct374011000
9147273000
1066064896
1134323597
121a160000
13108c1671
148aba1b2
155beebb6
hex3f01200

66064896 has 160 divisors (see below), whose sum is σ = 201326400. Its totient is φ = 21648384.

The previous prime is 66064841. The next prime is 66064909. The reversal of 66064896 is 69846066.

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, 1119715 + ... + 1119773.

It is an arithmetic number, because the mean of its divisors is an integer number (1258290).

Almost surely, 266064896 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 66064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100663200).

66064896 is an abundant number, since it is smaller than the sum of its proper divisors (135261504).

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

66064896 is an frugal number, since it uses more digits than its factorization.

66064896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 66064896 is about 8128.0314960020. The cubic root of 66064896 is about 404.2564133761.

It can be divided in two parts, 660 and 64896, that added together give a palindrome (65556).

The spelling of 66064896 in words is "sixty-six million, sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 96 108 118 128 144 162 177 192 216 236 243 256 288 324 354 384 432 472 486 512 531 576 648 708 729 768 864 944 972 1062 1152 1296 1416 1458 1536 1593 1728 1888 1944 2124 2187 2304 2592 2832 2916 3186 3456 3776 3888 4248 4374 4608 4779 5184 5664 5832 6372 6912 7552 7776 8496 8748 9558 10368 11328 11664 12744 13824 14337 15104 15552 16992 17496 19116 20736 22656 23328 25488 28674 30208 31104 33984 34992 38232 41472 43011 45312 46656 50976 57348 62208 67968 69984 76464 86022 90624 93312 101952 114696 124416 129033 135936 139968 152928 172044 186624 203904 229392 258066 271872 279936 305856 344088 373248 407808 458784 516132 559872 611712 688176 815616 917568 1032264 1119744 1223424 1376352 1835136 2064528 2446848 2752704 3670272 4129056 5505408 7340544 8258112 11010816 16516224 22021632 33032448 66064896