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4663623432 = 2331379431439
BaseRepresentation
bin1000101011111100…
…10011111100001000
3110001000102121122210
410111332103330020
534022341422212
62050433345120
7223366100526
oct42576237410
913030377583
104663623432
111a83548346
12aa1a081a0
135942655c0
1432353d316
151c465e53c
hex115f93f08

4663623432 has 128 divisors (see below), whose sum is σ = 12773376000. Its totient is φ = 1410289920.

The previous prime is 4663623431. The next prime is 4663623493. The reversal of 4663623432 is 2343263664.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4663623431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10623069 + ... + 10623507.

It is an arithmetic number, because the mean of its divisors is an integer number (99792000).

Almost surely, 24663623432 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 4663623432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386688000).

4663623432 is an abundant number, since it is smaller than the sum of its proper divisors (8109752568).

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

4663623432 is a wasteful number, since it uses less digits than its factorization.

4663623432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 967 counting only the distinct ones).

The product of its digits is 373248, while the sum is 39.

The square root of 4663623432 is about 68290.7272768419. The cubic root of 4663623432 is about 1670.7359792818.

The spelling of 4663623432 in words is "four billion, six hundred sixty-three million, six hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 431 439 474 632 862 878 948 1027 1293 1317 1724 1756 1896 2054 2586 2634 3081 3448 3512 4108 5172 5268 5603 5707 6162 8216 10344 10536 11206 11414 12324 16809 17121 22412 22828 24648 33618 34049 34242 34681 44824 45656 67236 68098 68484 69362 102147 104043 134472 136196 136968 138724 189209 204294 208086 272392 277448 378418 408588 416172 442637 450853 567627 756836 817176 832344 885274 901706 1135254 1327911 1352559 1513672 1770548 1803412 2270508 2459717 2655822 2705118 3541096 3606824 4541016 4919434 5311644 5410236 7379151 9838868 10623288 10820472 14758302 14947511 19677736 29516604 29895022 44842533 59033208 59790044 89685066 119580088 179370132 194317643 358740264 388635286 582952929 777270572 1165905858 1554541144 2331811716 4663623432