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66414063954 = 23723732633581
BaseRepresentation
bin111101110110100101…
…100011000101010010
320100102111210000101110
4331312211203011102
52042004000021304
650302111514150
74540542141420
oct756645430522
9210374700343
1066414063954
112619100a267
1210a55b28956
13635554cac4
143300688110
151ada8cb289
hexf76963152

66414063954 has 128 divisors (see below), whose sum is σ = 161229201408. Its totient is φ = 17828743680.

The previous prime is 66414063943. The next prime is 66414064001. The reversal of 66414063954 is 45936041466.

It is a super-2 number, since 2×664140639542 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18544444 + ... + 18548024.

It is an arithmetic number, because the mean of its divisors is an integer number (1259603136).

Almost surely, 266414063954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66414063954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80614600704).

66414063954 is an abundant number, since it is smaller than the sum of its proper divisors (94815137454).

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

66414063954 is a wasteful number, since it uses less digits than its factorization.

66414063954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952.

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 66414063954 in words is "sixty-six billion, four hundred fourteen million, sixty-three thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 73 138 146 161 219 263 322 438 483 511 526 789 966 1022 1533 1578 1679 1841 3066 3358 3581 3682 5037 5523 6049 7162 10074 10743 11046 11753 12098 18147 19199 21486 23506 25067 35259 36294 38398 42343 50134 57597 70518 75201 82363 84686 115194 127029 134393 150402 164726 247089 254058 261413 268786 403179 441577 494178 522826 576541 784239 806358 883154 941803 1153082 1324731 1568478 1729623 1829891 1883606 2649462 2825409 3091039 3459246 3659782 5489673 5650818 6012499 6182078 6592621 9273117 10979346 12024998 13185242 18037497 18546234 19777863 21661469 36074994 39555726 42087493 43322938 64984407 68751619 84174986 126262479 129968814 137503238 151630283 206254857 252524958 303260566 412509714 454890849 481261333 909781698 962522666 1443783999 1581287237 2887567998 3162574474 4743861711 9487723422 11069010659 22138021318 33207031977 66414063954