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66613888 = 271131723
BaseRepresentation
bin1111111000011…
…1001010000000
311122100100002001
43332013022000
5114023121023
610335433344
71436131405
oct376071200
9148310061
1066613888
1134669000
121a385854
1310a54503
148bc02ac
155cac6ad
hex3f87280

66613888 has 128 divisors (see below), whose sum is σ = 161274240. Its totient is φ = 27258880.

The previous prime is 66613861. The next prime is 66613901. The reversal of 66613888 is 88831666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 2896245 + ... + 2896267.

It is an arithmetic number, because the mean of its divisors is an integer number (1259955).

Almost surely, 266613888 is an apocalyptic number.

66613888 is a gapful number since it is divisible by the number (68) 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 66613888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80637120).

66613888 is an abundant number, since it is smaller than the sum of its proper divisors (94660352).

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

66613888 is a wasteful number, since it uses less digits than its factorization.

66613888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 66613888 is about 8161.7331492766. The cubic root of 66613888 is about 405.3731012844.

The spelling of 66613888 in words is "sixty-six million, six hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 64 68 88 92 121 128 136 176 184 187 242 253 272 352 368 374 391 484 506 544 704 736 748 782 968 1012 1088 1331 1408 1472 1496 1564 1936 2024 2057 2176 2662 2783 2944 2992 3128 3872 4048 4114 4301 5324 5566 5984 6256 7744 8096 8228 8602 10648 11132 11968 12512 15488 16192 16456 17204 21296 22264 22627 23936 25024 30613 32384 32912 34408 42592 44528 45254 47311 50048 61226 65824 68816 85184 89056 90508 94622 122452 131648 137632 170368 178112 181016 189244 244904 263296 275264 356224 362032 378488 489808 520421 550528 724064 756976 979616 1040842 1448128 1513952 1959232 2081684 2896256 3027904 3918464 4163368 6055808 8326736 16653472 33306944 66613888