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66610896 = 243111741181
BaseRepresentation
bin1111111000011…
…0011011010000
311122100011222020
43332012123100
5114023022041
610335411440
71436116602
oct376063320
9148304866
1066610896
1134666830
121a383b80
1310a53041
148bbd172
155cab866
hex3f866d0

66610896 has 160 divisors (see below), whose sum is σ = 204736896. Its totient is φ = 18432000.

The previous prime is 66610889. The next prime is 66610919. The reversal of 66610896 is 69801666.

It is a super-2 number, since 2×666108962 = 8874022931845632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367926 + ... + 368106.

Almost surely, 266610896 is an apocalyptic number.

66610896 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 66610896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

66610896 is an abundant number, since it is smaller than the sum of its proper divisors (138126000).

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

66610896 is a wasteful number, since it uses less digits than its factorization.

66610896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 66610896 is about 8161.5498528159. The cubic root of 66610896 is about 405.3670320071.

The spelling of 66610896 in words is "sixty-six million, six hundred ten thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 41 44 48 51 66 68 82 88 102 123 132 136 164 176 181 187 204 246 264 272 328 362 374 408 451 492 528 543 561 656 697 724 748 816 902 984 1086 1122 1353 1394 1448 1496 1804 1968 1991 2091 2172 2244 2706 2788 2896 2992 3077 3608 3982 4182 4344 4488 5412 5576 5973 6154 7216 7421 7667 7964 8364 8688 8976 9231 10824 11152 11946 12308 14842 15334 15928 16728 18462 21648 22263 23001 23892 24616 29684 30668 31856 33456 33847 36924 44526 46002 47784 49232 59368 61336 67694 73848 81631 89052 92004 95568 101541 118736 122672 126157 135388 147696 163262 178104 184008 203082 244893 252314 270776 326524 356208 368016 378471 406164 489786 504628 541552 653048 756942 812328 979572 1009256 1306096 1387727 1513884 1624656 1959144 2018512 2775454 3027768 3918288 4163181 5550908 6055536 8326362 11101816 16652724 22203632 33305448 66610896