Search a number
-
+
66598060356 = 22314592
BaseRepresentation
bin111110000001100011…
…011100000101000100
320100220100000000000000
4332001203130011010
52042343100412411
650332243321300
74545235113162
oct760143340504
9210810000000
1066598060356
1126275961503
1210aa7680230
1363846c2a09
14331aca2232
151aebb23956
hexf818dc144

66598060356 has 135 divisors (see below), whose sum is σ = 177833166511. Its totient is φ = 21823093224.

The previous prime is 66598060283. The next prime is 66598060369. The reversal of 66598060356 is 65306089566.

The square root of 66598060356 is 258066.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1128780655 + ... + 1128780713.

Almost surely, 266598060356 is an apocalyptic number.

66598060356 is the 258066-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66598060356

66598060356 is an abundant number, since it is smaller than the sum of its proper divisors (111235106155).

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

66598060356 is an frugal number, since it uses more digits than its factorization.

66598060356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 66598060356 in words is "sixty-six billion, five hundred ninety-eight million, sixty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 729 972 1062 1458 1593 2124 2187 2916 3186 3481 4374 4779 6372 6561 6962 8748 9558 10443 13122 13924 14337 19116 19683 20886 26244 28674 31329 39366 41772 43011 57348 59049 62658 78732 86022 93987 118098 125316 129033 172044 177147 187974 236196 258066 281961 354294 375948 387099 516132 531441 563922 708588 774198 845883 1062882 1127844 1161297 1548396 1594323 1691766 2125764 2322594 2537649 3188646 3383532 3483891 4645188 4782969 5075298 6377292 6967782 7612947 9565938 10150596 10451673 13935564 15225894 19131876 20903346 22838841 30451788 31355019 41806692 45677682 62710038 68516523 91355364 94065057 125420076 137033046 188130114 205549569 274066092 282195171 376260228 411099138 564390342 616648707 822198276 1128780684 1233297414 1849946121 2466594828 3699892242 5549838363 7399784484 11099676726 16649515089 22199353452 33299030178 66598060356