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664120152 = 233247229857
BaseRepresentation
bin100111100101011…
…010101101011000
31201021122210120200
4213211122231120
52330003321102
6145522222200
722312633233
oct4745325530
91637583520
10664120152
11310973333
121664b4960
13a7789007
14642b841a
153d48651c
hex2795ab58

664120152 has 96 divisors (see below), whose sum is σ = 1847102400. Its totient is φ = 215465472.

The previous prime is 664120151. The next prime is 664120153. The reversal of 664120152 is 251021466.

664120152 is a `hidden beast` number, since 6 + 641 + 2 + 0 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (664120151) and next prime (664120153).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664120151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774508 + ... + 775364.

It is an arithmetic number, because the mean of its divisors is an integer number (19240650).

Almost surely, 2664120152 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 664120152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923551200).

664120152 is an abundant number, since it is smaller than the sum of its proper divisors (1182982248).

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

664120152 is a wasteful number, since it uses less digits than its factorization.

664120152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 664120152 is about 25770.5287489411. The cubic root of 664120152 is about 872.4667527554.

The spelling of 664120152 in words is "six hundred sixty-four million, one hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 229 282 376 423 458 564 687 846 857 916 1128 1374 1692 1714 1832 2061 2571 2748 3384 3428 4122 5142 5496 6856 7713 8244 10284 10763 15426 16488 20568 21526 30852 32289 40279 43052 61704 64578 80558 86104 96867 120837 129156 161116 193734 196253 241674 258312 322232 362511 387468 392506 483348 588759 725022 774936 785012 966696 1177518 1450044 1570024 1766277 2355036 2900088 3532554 4710072 7065108 9223891 14130216 18447782 27671673 36895564 55343346 73791128 83015019 110686692 166030038 221373384 332060076 664120152