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66500676 = 22341147397
BaseRepresentation
bin1111110110101…
…1100001000100
311122010120210000
43331223201010
5114011010201
610333201300
71435150344
oct375534104
9148116700
1066500676
11345a0a40
121a330230
1310a14b18
148b90d24
155c88d86
hex3f6b844

66500676 has 120 divisors (see below), whose sum is σ = 194173056. Its totient is φ = 19673280.

The previous prime is 66500669. The next prime is 66500689. The reversal of 66500676 is 67600566.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66500676.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167310 + ... + 167706.

Almost surely, 266500676 is an apocalyptic number.

66500676 is a gapful number since it is divisible by the number (66) 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 66500676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97086528).

66500676 is an abundant number, since it is smaller than the sum of its proper divisors (127672380).

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

66500676 is a wasteful number, since it uses less digits than its factorization.

66500676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 66500676 is about 8154.7946632641. The cubic root of 66500676 is about 405.1433237594.

It can be divided in two parts, 66500 and 676, that added together give a palindrome (67176).

The spelling of 66500676 in words is "sixty-six million, five hundred thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 66 81 94 99 108 132 141 162 188 198 282 297 324 396 397 423 517 564 594 794 846 891 1034 1188 1191 1269 1551 1588 1692 1782 2068 2382 2538 3102 3564 3573 3807 4367 4653 4764 5076 6204 7146 7614 8734 9306 10719 13101 13959 14292 15228 17468 18612 18659 21438 26202 27918 32157 37318 39303 41877 42876 52404 55836 55977 64314 74636 78606 83754 111954 117909 128628 157212 167508 167931 205249 223908 235818 335862 353727 410498 471636 503793 615747 671724 707454 820996 1007586 1231494 1414908 1511379 1847241 2015172 2462988 3022758 3694482 5541723 6045516 7388964 11083446 16625169 22166892 33250338 66500676