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66381744 = 243111319509
BaseRepresentation
bin1111110100111…
…0011110110000
311121220112122010
43331032132300
5113443203434
610330442520
71434143532
oct375163660
9147815563
1066381744
113451a650
121a293440
13109a2950
148b5d852
155c639e9
hex3f4e7b0

66381744 has 160 divisors (see below), whose sum is σ = 212486400. Its totient is φ = 17556480.

The previous prime is 66381743. The next prime is 66381767. The reversal of 66381744 is 44718366.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (66381743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130162 + ... + 130670.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 266381744 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 66381744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

66381744 is an abundant number, since it is smaller than the sum of its proper divisors (146104656).

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

66381744 is a wasteful number, since it uses less digits than its factorization.

66381744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 66381744 is about 8147.4992482356. The cubic root of 66381744 is about 404.9016557435.

The spelling of 66381744 in words is "sixty-six million, three hundred eighty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 509 528 572 624 627 741 836 858 912 988 1018 1144 1254 1482 1527 1672 1716 1976 2036 2288 2508 2717 2964 3054 3344 3432 3952 4072 5016 5434 5599 5928 6108 6617 6864 8144 8151 9671 10032 10868 11198 11856 12216 13234 16302 16797 19342 19851 21736 22396 24432 26468 29013 32604 33594 38684 39702 43472 44792 52936 58026 65208 67188 72787 77368 79404 89584 105872 106381 116052 125723 130416 134376 145574 154736 158808 212762 218361 232104 251446 268752 291148 317616 319143 377169 425524 436722 464208 502892 582296 638286 754338 851048 873444 1005784 1164592 1276572 1382953 1508676 1702096 1746888 2011568 2553144 2765906 3017352 3493776 4148859 5106288 5531812 6034704 8297718 11063624 16595436 22127248 33190872 66381744